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Finding the Third Proportional to 80,040 and 172,494

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Solution

The third proportional to 80,040 and 172,494 is: 371,741.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,040 : 172,494 = 172,494 : x
  2. Step 2: Convert to fraction form
    80,040/172,494 = 172,494/x
  3. Step 3: Cross multiply
    80,040x = 172,494 × 172,494
  4. Step 4: Simplify right side
    80,040x = 29,754,180,036
  5. Step 5: Solve for x
    x = 29,754,180,036/80,040
  6. Step 6: Final answer
    x = 371,741.38

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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.