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Finding the Third Proportional to 66,037.50 and 141,423.75

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Solution

The third proportional to 66,037.50 and 141,423.75 is: 302,868.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,037.50 : 141,423.75 = 141,423.75 : x
  2. Step 2: Convert to fraction form
    66,037.50/141,423.75 = 141,423.75/x
  3. Step 3: Cross multiply
    66,037.50x = 141,423.75 × 141,423.75
  4. Step 4: Simplify right side
    66,037.50x = 20,000,677,064.06
  5. Step 5: Solve for x
    x = 20,000,677,064.06/66,037.50
  6. Step 6: Final answer
    x = 302,868.48

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.