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Finding the Third Proportional to 60,540 and 119,534

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Solution

The third proportional to 60,540 and 119,534 is: 236,015.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,540 : 119,534 = 119,534 : x
  2. Step 2: Convert to fraction form
    60,540/119,534 = 119,534/x
  3. Step 3: Cross multiply
    60,540x = 119,534 × 119,534
  4. Step 4: Simplify right side
    60,540x = 14,288,377,156
  5. Step 5: Solve for x
    x = 14,288,377,156/60,540
  6. Step 6: Final answer
    x = 236,015.48

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.