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Finding the Third Proportional to 122,494 and 158,468

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Solution

The third proportional to 122,494 and 158,468 is: 205,006.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,494 : 158,468 = 158,468 : x
  2. Step 2: Convert to fraction form
    122,494/158,468 = 158,468/x
  3. Step 3: Cross multiply
    122,494x = 158,468 × 158,468
  4. Step 4: Simplify right side
    122,494x = 25,112,107,024
  5. Step 5: Solve for x
    x = 25,112,107,024/122,494
  6. Step 6: Final answer
    x = 205,006.83

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Why These Related Problems?

These problems maintain the same ratio (1.29) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.