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Finding the Third Proportional to 59,481 and 123,894

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Solution

The third proportional to 59,481 and 123,894 is: 258,060.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,481 : 123,894 = 123,894 : x
  2. Step 2: Convert to fraction form
    59,481/123,894 = 123,894/x
  3. Step 3: Cross multiply
    59,481x = 123,894 × 123,894
  4. Step 4: Simplify right side
    59,481x = 15,349,723,236
  5. Step 5: Solve for x
    x = 15,349,723,236/59,481
  6. Step 6: Final answer
    x = 258,060.95

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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.