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Finding the Third Proportional to 60,230 and 129,676

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Solution

The third proportional to 60,230 and 129,676 is: 279,194.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,230 : 129,676 = 129,676 : x
  2. Step 2: Convert to fraction form
    60,230/129,676 = 129,676/x
  3. Step 3: Cross multiply
    60,230x = 129,676 × 129,676
  4. Step 4: Simplify right side
    60,230x = 16,815,864,976
  5. Step 5: Solve for x
    x = 16,815,864,976/60,230
  6. Step 6: Final answer
    x = 279,194.17

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.