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Finding the Third Proportional to 80,687 and 174,982

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Solution

The third proportional to 80,687 and 174,982 is: 379,475.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,687 : 174,982 = 174,982 : x
  2. Step 2: Convert to fraction form
    80,687/174,982 = 174,982/x
  3. Step 3: Cross multiply
    80,687x = 174,982 × 174,982
  4. Step 4: Simplify right side
    80,687x = 30,618,700,324
  5. Step 5: Solve for x
    x = 30,618,700,324/80,687
  6. Step 6: Final answer
    x = 379,475.01

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