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Finding the Third Proportional to 63,540 and 95,001.75

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Solution

The third proportional to 63,540 and 95,001.75 is: 142,041.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,540 : 95,001.75 = 95,001.75 : x
  2. Step 2: Convert to fraction form
    63,540/95,001.75 = 95,001.75/x
  3. Step 3: Cross multiply
    63,540x = 95,001.75 × 95,001.75
  4. Step 4: Simplify right side
    63,540x = 9,025,332,503.06
  5. Step 5: Solve for x
    x = 9,025,332,503.06/63,540
  6. Step 6: Final answer
    x = 142,041.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.