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Finding the Third Proportional to 59,498 and 125,134

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Solution

The third proportional to 59,498 and 125,134 is: 263,177.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,498 : 125,134 = 125,134 : x
  2. Step 2: Convert to fraction form
    59,498/125,134 = 125,134/x
  3. Step 3: Cross multiply
    59,498x = 125,134 × 125,134
  4. Step 4: Simplify right side
    59,498x = 15,658,517,956
  5. Step 5: Solve for x
    x = 15,658,517,956/59,498
  6. Step 6: Final answer
    x = 263,177.22

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.