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Finding the Third Proportional to 37,539 and 82,461

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Solution

The third proportional to 37,539 and 82,461 is: 181,140.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,539 : 82,461 = 82,461 : x
  2. Step 2: Convert to fraction form
    37,539/82,461 = 82,461/x
  3. Step 3: Cross multiply
    37,539x = 82,461 × 82,461
  4. Step 4: Simplify right side
    37,539x = 6,799,816,521
  5. Step 5: Solve for x
    x = 6,799,816,521/37,539
  6. Step 6: Final answer
    x = 181,140.05

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.