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Finding the Third Proportional to 63,541.97 and 137,543.91

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Solution

The third proportional to 63,541.97 and 137,543.91 is: 297,729.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,541.97 : 137,543.91 = 137,543.91 : x
  2. Step 2: Convert to fraction form
    63,541.97/137,543.91 = 137,543.91/x
  3. Step 3: Cross multiply
    63,541.97x = 137,543.91 × 137,543.91
  4. Step 4: Simplify right side
    63,541.97x = 18,918,326,146.51
  5. Step 5: Solve for x
    x = 18,918,326,146.51/63,541.97
  6. Step 6: Final answer
    x = 297,729.62

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.