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Finding the Third Proportional to 63,691 and 137,758

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Solution

The third proportional to 63,691 and 137,758 is: 297,958.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,691 : 137,758 = 137,758 : x
  2. Step 2: Convert to fraction form
    63,691/137,758 = 137,758/x
  3. Step 3: Cross multiply
    63,691x = 137,758 × 137,758
  4. Step 4: Simplify right side
    63,691x = 18,977,266,564
  5. Step 5: Solve for x
    x = 18,977,266,564/63,691
  6. Step 6: Final answer
    x = 297,958.37

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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.