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Finding the Third Proportional to 83,122 and 176,626

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Solution

The third proportional to 83,122 and 176,626 is: 375,312.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,122 : 176,626 = 176,626 : x
  2. Step 2: Convert to fraction form
    83,122/176,626 = 176,626/x
  3. Step 3: Cross multiply
    83,122x = 176,626 × 176,626
  4. Step 4: Simplify right side
    83,122x = 31,196,743,876
  5. Step 5: Solve for x
    x = 31,196,743,876/83,122
  6. Step 6: Final answer
    x = 375,312.72

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.