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Finding the Third Proportional to 59,427 and 130,517

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Solution

The third proportional to 59,427 and 130,517 is: 286,648.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,427 : 130,517 = 130,517 : x
  2. Step 2: Convert to fraction form
    59,427/130,517 = 130,517/x
  3. Step 3: Cross multiply
    59,427x = 130,517 × 130,517
  4. Step 4: Simplify right side
    59,427x = 17,034,687,289
  5. Step 5: Solve for x
    x = 17,034,687,289/59,427
  6. Step 6: Final answer
    x = 286,648.95

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.