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Finding the Third Proportional to 122,496 and 158,471

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Solution

The third proportional to 122,496 and 158,471 is: 205,011.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,496 : 158,471 = 158,471 : x
  2. Step 2: Convert to fraction form
    122,496/158,471 = 158,471/x
  3. Step 3: Cross multiply
    122,496x = 158,471 × 158,471
  4. Step 4: Simplify right side
    122,496x = 25,113,057,841
  5. Step 5: Solve for x
    x = 25,113,057,841/122,496
  6. Step 6: Final answer
    x = 205,011.25

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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.