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Finding the Third Proportional to 80,791 and 174,487

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Solution

The third proportional to 80,791 and 174,487 is: 376,845.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,791 : 174,487 = 174,487 : x
  2. Step 2: Convert to fraction form
    80,791/174,487 = 174,487/x
  3. Step 3: Cross multiply
    80,791x = 174,487 × 174,487
  4. Step 4: Simplify right side
    80,791x = 30,445,713,169
  5. Step 5: Solve for x
    x = 30,445,713,169/80,791
  6. Step 6: Final answer
    x = 376,845.36

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.