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Finding the Third Proportional to 66,496.50 and 101,733.19

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Solution

The third proportional to 66,496.50 and 101,733.19 is: 155,641.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,496.50 : 101,733.19 = 101,733.19 : x
  2. Step 2: Convert to fraction form
    66,496.50/101,733.19 = 101,733.19/x
  3. Step 3: Cross multiply
    66,496.50x = 101,733.19 × 101,733.19
  4. Step 4: Simplify right side
    66,496.50x = 10,349,641,438.91
  5. Step 5: Solve for x
    x = 10,349,641,438.91/66,496.50
  6. Step 6: Final answer
    x = 155,641.90

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.