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Finding the Third Proportional to 80,241 and 173,862

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Solution

The third proportional to 80,241 and 173,862 is: 376,715.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,241 : 173,862 = 173,862 : x
  2. Step 2: Convert to fraction form
    80,241/173,862 = 173,862/x
  3. Step 3: Cross multiply
    80,241x = 173,862 × 173,862
  4. Step 4: Simplify right side
    80,241x = 30,227,995,044
  5. Step 5: Solve for x
    x = 30,227,995,044/80,241
  6. Step 6: Final answer
    x = 376,715.08

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.