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Finding the Third Proportional to 60,599 and 129,622

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Solution

The third proportional to 60,599 and 129,622 is: 277,263.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,599 : 129,622 = 129,622 : x
  2. Step 2: Convert to fraction form
    60,599/129,622 = 129,622/x
  3. Step 3: Cross multiply
    60,599x = 129,622 × 129,622
  4. Step 4: Simplify right side
    60,599x = 16,801,862,884
  5. Step 5: Solve for x
    x = 16,801,862,884/60,599
  6. Step 6: Final answer
    x = 277,263.04

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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.