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Finding the Third Proportional to 52,098 and 80,622

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Solution

The third proportional to 52,098 and 80,622 is: 124,763.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,098 : 80,622 = 80,622 : x
  2. Step 2: Convert to fraction form
    52,098/80,622 = 80,622/x
  3. Step 3: Cross multiply
    52,098x = 80,622 × 80,622
  4. Step 4: Simplify right side
    52,098x = 6,499,906,884
  5. Step 5: Solve for x
    x = 6,499,906,884/52,098
  6. Step 6: Final answer
    x = 124,763.08

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.