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Finding the Third Proportional to 66,001.50 and 128,695.50

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Solution

The third proportional to 66,001.50 and 128,695.50 is: 250,941.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,001.50 : 128,695.50 = 128,695.50 : x
  2. Step 2: Convert to fraction form
    66,001.50/128,695.50 = 128,695.50/x
  3. Step 3: Cross multiply
    66,001.50x = 128,695.50 × 128,695.50
  4. Step 4: Simplify right side
    66,001.50x = 16,562,531,720.25
  5. Step 5: Solve for x
    x = 16,562,531,720.25/66,001.50
  6. Step 6: Final answer
    x = 250,941.75

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.