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Finding the Third Proportional to 83,031.75 and 132,184.13

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Solution

The third proportional to 83,031.75 and 132,184.13 is: 210,433.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,031.75 : 132,184.13 = 132,184.13 : x
  2. Step 2: Convert to fraction form
    83,031.75/132,184.13 = 132,184.13/x
  3. Step 3: Cross multiply
    83,031.75x = 132,184.13 × 132,184.13
  4. Step 4: Simplify right side
    83,031.75x = 17,472,642,902.02
  5. Step 5: Solve for x
    x = 17,472,642,902.02/83,031.75
  6. Step 6: Final answer
    x = 210,433.27

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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.