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Finding the Third Proportional to 80,750 and 115,588

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Solution

The third proportional to 80,750 and 115,588 is: 165,456.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,750 : 115,588 = 115,588 : x
  2. Step 2: Convert to fraction form
    80,750/115,588 = 115,588/x
  3. Step 3: Cross multiply
    80,750x = 115,588 × 115,588
  4. Step 4: Simplify right side
    80,750x = 13,360,585,744
  5. Step 5: Solve for x
    x = 13,360,585,744/80,750
  6. Step 6: Final answer
    x = 165,456.17

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.