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Finding the Third Proportional to 83,583 and 179,586

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Solution

The third proportional to 83,583 and 179,586 is: 385,857.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,583 : 179,586 = 179,586 : x
  2. Step 2: Convert to fraction form
    83,583/179,586 = 179,586/x
  3. Step 3: Cross multiply
    83,583x = 179,586 × 179,586
  4. Step 4: Simplify right side
    83,583x = 32,251,131,396
  5. Step 5: Solve for x
    x = 32,251,131,396/83,583
  6. Step 6: Final answer
    x = 385,857.55

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.