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Finding the Third Proportional to 83,539 and 180,119

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Solution

The third proportional to 83,539 and 180,119 is: 388,355.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,539 : 180,119 = 180,119 : x
  2. Step 2: Convert to fraction form
    83,539/180,119 = 180,119/x
  3. Step 3: Cross multiply
    83,539x = 180,119 × 180,119
  4. Step 4: Simplify right side
    83,539x = 32,442,854,161
  5. Step 5: Solve for x
    x = 32,442,854,161/83,539
  6. Step 6: Final answer
    x = 388,355.79

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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.