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Finding the Third Proportional to 60,422 and 80,643

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Solution

The third proportional to 60,422 and 80,643 is: 107,631.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,422 : 80,643 = 80,643 : x
  2. Step 2: Convert to fraction form
    60,422/80,643 = 80,643/x
  3. Step 3: Cross multiply
    60,422x = 80,643 × 80,643
  4. Step 4: Simplify right side
    60,422x = 6,503,293,449
  5. Step 5: Solve for x
    x = 6,503,293,449/60,422
  6. Step 6: Final answer
    x = 107,631.22

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.