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Finding the Third Proportional to 80,918 and 176,038

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Solution

The third proportional to 80,918 and 176,038 is: 382,972.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,918 : 176,038 = 176,038 : x
  2. Step 2: Convert to fraction form
    80,918/176,038 = 176,038/x
  3. Step 3: Cross multiply
    80,918x = 176,038 × 176,038
  4. Step 4: Simplify right side
    80,918x = 30,989,377,444
  5. Step 5: Solve for x
    x = 30,989,377,444/80,918
  6. Step 6: Final answer
    x = 382,972.61

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.