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Finding the Third Proportional to 83,754 and 182,259

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Solution

The third proportional to 83,754 and 182,259 is: 396,617.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,754 : 182,259 = 182,259 : x
  2. Step 2: Convert to fraction form
    83,754/182,259 = 182,259/x
  3. Step 3: Cross multiply
    83,754x = 182,259 × 182,259
  4. Step 4: Simplify right side
    83,754x = 33,218,343,081
  5. Step 5: Solve for x
    x = 33,218,343,081/83,754
  6. Step 6: Final answer
    x = 396,617.99

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.