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Finding the Third Proportional to 83,375 and 182,561

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Solution

The third proportional to 83,375 and 182,561 is: 399,742.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,375 : 182,561 = 182,561 : x
  2. Step 2: Convert to fraction form
    83,375/182,561 = 182,561/x
  3. Step 3: Cross multiply
    83,375x = 182,561 × 182,561
  4. Step 4: Simplify right side
    83,375x = 33,328,518,721
  5. Step 5: Solve for x
    x = 33,328,518,721/83,375
  6. Step 6: Final answer
    x = 399,742.35

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.