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Finding the Third Proportional to 29,103 and 63,538

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Solution

The third proportional to 29,103 and 63,538 is: 138,716.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,103 : 63,538 = 63,538 : x
  2. Step 2: Convert to fraction form
    29,103/63,538 = 63,538/x
  3. Step 3: Cross multiply
    29,103x = 63,538 × 63,538
  4. Step 4: Simplify right side
    29,103x = 4,037,077,444
  5. Step 5: Solve for x
    x = 4,037,077,444/29,103
  6. Step 6: Final answer
    x = 138,716.88

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.