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Finding the Third Proportional to 59,131 and 131,384

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Solution

The third proportional to 59,131 and 131,384 is: 291,923.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,131 : 131,384 = 131,384 : x
  2. Step 2: Convert to fraction form
    59,131/131,384 = 131,384/x
  3. Step 3: Cross multiply
    59,131x = 131,384 × 131,384
  4. Step 4: Simplify right side
    59,131x = 17,261,755,456
  5. Step 5: Solve for x
    x = 17,261,755,456/59,131
  6. Step 6: Final answer
    x = 291,923.96

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.