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Finding the Third Proportional to 60,870 and 123,414

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Solution

The third proportional to 60,870 and 123,414 is: 250,222.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,870 : 123,414 = 123,414 : x
  2. Step 2: Convert to fraction form
    60,870/123,414 = 123,414/x
  3. Step 3: Cross multiply
    60,870x = 123,414 × 123,414
  4. Step 4: Simplify right side
    60,870x = 15,231,015,396
  5. Step 5: Solve for x
    x = 15,231,015,396/60,870
  6. Step 6: Final answer
    x = 250,222.04

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.