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Finding the Third Proportional to 63,539.91 and 137,540.53

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Solution

The third proportional to 63,539.91 and 137,540.53 is: 297,724.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,539.91 : 137,540.53 = 137,540.53 : x
  2. Step 2: Convert to fraction form
    63,539.91/137,540.53 = 137,540.53/x
  3. Step 3: Cross multiply
    63,539.91x = 137,540.53 × 137,540.53
  4. Step 4: Simplify right side
    63,539.91x = 18,917,397,736.53
  5. Step 5: Solve for x
    x = 18,917,397,736.53/63,539.91
  6. Step 6: Final answer
    x = 297,724.64

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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.