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Finding the Third Proportional to 27,166 and 57,592

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Solution

The third proportional to 27,166 and 57,592 is: 122,095.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,166 : 57,592 = 57,592 : x
  2. Step 2: Convert to fraction form
    27,166/57,592 = 57,592/x
  3. Step 3: Cross multiply
    27,166x = 57,592 × 57,592
  4. Step 4: Simplify right side
    27,166x = 3,316,838,464
  5. Step 5: Solve for x
    x = 3,316,838,464/27,166
  6. Step 6: Final answer
    x = 122,095.21

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.