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Finding the Third Proportional to 60,733 and 133,422

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Solution

The third proportional to 60,733 and 133,422 is: 293,109.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,733 : 133,422 = 133,422 : x
  2. Step 2: Convert to fraction form
    60,733/133,422 = 133,422/x
  3. Step 3: Cross multiply
    60,733x = 133,422 × 133,422
  4. Step 4: Simplify right side
    60,733x = 17,801,430,084
  5. Step 5: Solve for x
    x = 17,801,430,084/60,733
  6. Step 6: Final answer
    x = 293,109.68

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.