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Finding the Third Proportional to 83,289 and 132,465

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Solution

The third proportional to 83,289 and 132,465 is: 210,675.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,289 : 132,465 = 132,465 : x
  2. Step 2: Convert to fraction form
    83,289/132,465 = 132,465/x
  3. Step 3: Cross multiply
    83,289x = 132,465 × 132,465
  4. Step 4: Simplify right side
    83,289x = 17,546,976,225
  5. Step 5: Solve for x
    x = 17,546,976,225/83,289
  6. Step 6: Final answer
    x = 210,675.79

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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.