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Finding the Third Proportional to 60,609 and 132,233

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Solution

The third proportional to 60,609 and 132,233 is: 288,497.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,609 : 132,233 = 132,233 : x
  2. Step 2: Convert to fraction form
    60,609/132,233 = 132,233/x
  3. Step 3: Cross multiply
    60,609x = 132,233 × 132,233
  4. Step 4: Simplify right side
    60,609x = 17,485,566,289
  5. Step 5: Solve for x
    x = 17,485,566,289/60,609
  6. Step 6: Final answer
    x = 288,497.85

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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.