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Finding the Third Proportional to 63,127.88 and 138,132.38

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Solution

The third proportional to 63,127.88 and 138,132.38 is: 302,252.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,127.88 : 138,132.38 = 138,132.38 : x
  2. Step 2: Convert to fraction form
    63,127.88/138,132.38 = 138,132.38/x
  3. Step 3: Cross multiply
    63,127.88x = 138,132.38 × 138,132.38
  4. Step 4: Simplify right side
    63,127.88x = 19,080,553,023.14
  5. Step 5: Solve for x
    x = 19,080,553,023.14/63,127.88
  6. Step 6: Final answer
    x = 302,252.42

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