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Finding the Third Proportional to 65,743.31 and 144,001.13

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Solution

The third proportional to 65,743.31 and 144,001.13 is: 315,413.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,743.31 : 144,001.13 = 144,001.13 : x
  2. Step 2: Convert to fraction form
    65,743.31/144,001.13 = 144,001.13/x
  3. Step 3: Cross multiply
    65,743.31x = 144,001.13 × 144,001.13
  4. Step 4: Simplify right side
    65,743.31x = 20,736,324,001.27
  5. Step 5: Solve for x
    x = 20,736,324,001.27/65,743.31
  6. Step 6: Final answer
    x = 315,413.43

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.