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Finding the Third Proportional to 81,221 and 125,002

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Solution

The third proportional to 81,221 and 125,002 is: 192,382.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,221 : 125,002 = 125,002 : x
  2. Step 2: Convert to fraction form
    81,221/125,002 = 125,002/x
  3. Step 3: Cross multiply
    81,221x = 125,002 × 125,002
  4. Step 4: Simplify right side
    81,221x = 15,625,500,004
  5. Step 5: Solve for x
    x = 15,625,500,004/81,221
  6. Step 6: Final answer
    x = 192,382.51

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.