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Finding the Third Proportional to 60,540 and 131,979

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Solution

The third proportional to 60,540 and 131,979 is: 287,718.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,540 : 131,979 = 131,979 : x
  2. Step 2: Convert to fraction form
    60,540/131,979 = 131,979/x
  3. Step 3: Cross multiply
    60,540x = 131,979 × 131,979
  4. Step 4: Simplify right side
    60,540x = 17,418,456,441
  5. Step 5: Solve for x
    x = 17,418,456,441/60,540
  6. Step 6: Final answer
    x = 287,718.14

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.