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Finding the Third Proportional to 80,550 and 174,940

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Solution

The third proportional to 80,550 and 174,940 is: 379,937.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,550 : 174,940 = 174,940 : x
  2. Step 2: Convert to fraction form
    80,550/174,940 = 174,940/x
  3. Step 3: Cross multiply
    80,550x = 174,940 × 174,940
  4. Step 4: Simplify right side
    80,550x = 30,604,003,600
  5. Step 5: Solve for x
    x = 30,604,003,600/80,550
  6. Step 6: Final answer
    x = 379,937.97

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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.