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Finding the Third Proportional to 132,561 and 200,771

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Solution

The third proportional to 132,561 and 200,771 is: 304,078.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,561 : 200,771 = 200,771 : x
  2. Step 2: Convert to fraction form
    132,561/200,771 = 200,771/x
  3. Step 3: Cross multiply
    132,561x = 200,771 × 200,771
  4. Step 4: Simplify right side
    132,561x = 40,308,994,441
  5. Step 5: Solve for x
    x = 40,308,994,441/132,561
  6. Step 6: Final answer
    x = 304,078.83

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.