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Finding the Third Proportional to 29,194 and 60,464

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Solution

The third proportional to 29,194 and 60,464 is: 125,227.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,194 : 60,464 = 60,464 : x
  2. Step 2: Convert to fraction form
    29,194/60,464 = 60,464/x
  3. Step 3: Cross multiply
    29,194x = 60,464 × 60,464
  4. Step 4: Simplify right side
    29,194x = 3,655,895,296
  5. Step 5: Solve for x
    x = 3,655,895,296/29,194
  6. Step 6: Final answer
    x = 125,227.63

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.