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Finding the Third Proportional to 80,702 and 187,535

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Solution

The third proportional to 80,702 and 187,535 is: 435,793.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,702 : 187,535 = 187,535 : x
  2. Step 2: Convert to fraction form
    80,702/187,535 = 187,535/x
  3. Step 3: Cross multiply
    80,702x = 187,535 × 187,535
  4. Step 4: Simplify right side
    80,702x = 35,169,376,225
  5. Step 5: Solve for x
    x = 35,169,376,225/80,702
  6. Step 6: Final answer
    x = 435,793.12

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.