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Finding the Third Proportional to 60,418 and 130,540

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Solution

The third proportional to 60,418 and 130,540 is: 282,046.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,418 : 130,540 = 130,540 : x
  2. Step 2: Convert to fraction form
    60,418/130,540 = 130,540/x
  3. Step 3: Cross multiply
    60,418x = 130,540 × 130,540
  4. Step 4: Simplify right side
    60,418x = 17,040,691,600
  5. Step 5: Solve for x
    x = 17,040,691,600/60,418
  6. Step 6: Final answer
    x = 282,046.60

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.