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Finding the Third Proportional to 77,882 and 176,561

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Solution

The third proportional to 77,882 and 176,561 is: 400,269.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,882 : 176,561 = 176,561 : x
  2. Step 2: Convert to fraction form
    77,882/176,561 = 176,561/x
  3. Step 3: Cross multiply
    77,882x = 176,561 × 176,561
  4. Step 4: Simplify right side
    77,882x = 31,173,786,721
  5. Step 5: Solve for x
    x = 31,173,786,721/77,882
  6. Step 6: Final answer
    x = 400,269.47

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Why These Related Problems?

These problems maintain the same ratio (2.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.