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Finding the Third Proportional to 122,571 and 168,789

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Solution

The third proportional to 122,571 and 168,789 is: 232,434.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,571 : 168,789 = 168,789 : x
  2. Step 2: Convert to fraction form
    122,571/168,789 = 168,789/x
  3. Step 3: Cross multiply
    122,571x = 168,789 × 168,789
  4. Step 4: Simplify right side
    122,571x = 28,489,726,521
  5. Step 5: Solve for x
    x = 28,489,726,521/122,571
  6. Step 6: Final answer
    x = 232,434.48

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.