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Finding the Third Proportional to 83,538 and 183,617

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Solution

The third proportional to 83,538 and 183,617 is: 403,591.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,538 : 183,617 = 183,617 : x
  2. Step 2: Convert to fraction form
    83,538/183,617 = 183,617/x
  3. Step 3: Cross multiply
    83,538x = 183,617 × 183,617
  4. Step 4: Simplify right side
    83,538x = 33,715,202,689
  5. Step 5: Solve for x
    x = 33,715,202,689/83,538
  6. Step 6: Final answer
    x = 403,591.21

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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.