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Finding the Third Proportional to 59,092 and 127,566

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Solution

The third proportional to 59,092 and 127,566 is: 275,385.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,092 : 127,566 = 127,566 : x
  2. Step 2: Convert to fraction form
    59,092/127,566 = 127,566/x
  3. Step 3: Cross multiply
    59,092x = 127,566 × 127,566
  4. Step 4: Simplify right side
    59,092x = 16,273,084,356
  5. Step 5: Solve for x
    x = 16,273,084,356/59,092
  6. Step 6: Final answer
    x = 275,385.57

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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.