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Finding the Third Proportional to 58,691 and 124,654

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Solution

The third proportional to 58,691 and 124,654 is: 264,753.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,691 : 124,654 = 124,654 : x
  2. Step 2: Convert to fraction form
    58,691/124,654 = 124,654/x
  3. Step 3: Cross multiply
    58,691x = 124,654 × 124,654
  4. Step 4: Simplify right side
    58,691x = 15,538,619,716
  5. Step 5: Solve for x
    x = 15,538,619,716/58,691
  6. Step 6: Final answer
    x = 264,753.02

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.