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Finding the Third Proportional to 60,414 and 129,574

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Solution

The third proportional to 60,414 and 129,574 is: 277,906.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,414 : 129,574 = 129,574 : x
  2. Step 2: Convert to fraction form
    60,414/129,574 = 129,574/x
  3. Step 3: Cross multiply
    60,414x = 129,574 × 129,574
  4. Step 4: Simplify right side
    60,414x = 16,789,421,476
  5. Step 5: Solve for x
    x = 16,789,421,476/60,414
  6. Step 6: Final answer
    x = 277,906.14

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.