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Finding the Third Proportional to 59,500 and 123,908

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Solution

The third proportional to 59,500 and 123,908 is: 258,036.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,500 : 123,908 = 123,908 : x
  2. Step 2: Convert to fraction form
    59,500/123,908 = 123,908/x
  3. Step 3: Cross multiply
    59,500x = 123,908 × 123,908
  4. Step 4: Simplify right side
    59,500x = 15,353,192,464
  5. Step 5: Solve for x
    x = 15,353,192,464/59,500
  6. Step 6: Final answer
    x = 258,036.85

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.