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Finding the Third Proportional to 27,179 and 59,339

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Solution

The third proportional to 27,179 and 59,339 is: 129,552.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,179 : 59,339 = 59,339 : x
  2. Step 2: Convert to fraction form
    27,179/59,339 = 59,339/x
  3. Step 3: Cross multiply
    27,179x = 59,339 × 59,339
  4. Step 4: Simplify right side
    27,179x = 3,521,116,921
  5. Step 5: Solve for x
    x = 3,521,116,921/27,179
  6. Step 6: Final answer
    x = 129,552.85

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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.