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Finding the Third Proportional to 60,422 and 133,352

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Solution

The third proportional to 60,422 and 133,352 is: 294,309.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,422 : 133,352 = 133,352 : x
  2. Step 2: Convert to fraction form
    60,422/133,352 = 133,352/x
  3. Step 3: Cross multiply
    60,422x = 133,352 × 133,352
  4. Step 4: Simplify right side
    60,422x = 17,782,755,904
  5. Step 5: Solve for x
    x = 17,782,755,904/60,422
  6. Step 6: Final answer
    x = 294,309.29

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.