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Finding the Third Proportional to 63,032 and 138,488

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Solution

The third proportional to 63,032 and 138,488 is: 304,272.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,032 : 138,488 = 138,488 : x
  2. Step 2: Convert to fraction form
    63,032/138,488 = 138,488/x
  3. Step 3: Cross multiply
    63,032x = 138,488 × 138,488
  4. Step 4: Simplify right side
    63,032x = 19,178,926,144
  5. Step 5: Solve for x
    x = 19,178,926,144/63,032
  6. Step 6: Final answer
    x = 304,272.85

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.