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Finding the Third Proportional to 80,860 and 175,854

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Solution

The third proportional to 80,860 and 175,854 is: 382,446.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,860 : 175,854 = 175,854 : x
  2. Step 2: Convert to fraction form
    80,860/175,854 = 175,854/x
  3. Step 3: Cross multiply
    80,860x = 175,854 × 175,854
  4. Step 4: Simplify right side
    80,860x = 30,924,629,316
  5. Step 5: Solve for x
    x = 30,924,629,316/80,860
  6. Step 6: Final answer
    x = 382,446.57

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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.