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Finding the Third Proportional to 59,506 and 123,940

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Solution

The third proportional to 59,506 and 123,940 is: 258,144.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,506 : 123,940 = 123,940 : x
  2. Step 2: Convert to fraction form
    59,506/123,940 = 123,940/x
  3. Step 3: Cross multiply
    59,506x = 123,940 × 123,940
  4. Step 4: Simplify right side
    59,506x = 15,361,123,600
  5. Step 5: Solve for x
    x = 15,361,123,600/59,506
  6. Step 6: Final answer
    x = 258,144.11

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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.