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Finding the Third Proportional to 83,244 and 132,402

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Solution

The third proportional to 83,244 and 132,402 is: 210,589.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,244 : 132,402 = 132,402 : x
  2. Step 2: Convert to fraction form
    83,244/132,402 = 132,402/x
  3. Step 3: Cross multiply
    83,244x = 132,402 × 132,402
  4. Step 4: Simplify right side
    83,244x = 17,530,289,604
  5. Step 5: Solve for x
    x = 17,530,289,604/83,244
  6. Step 6: Final answer
    x = 210,589.23

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.