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Finding the Third Proportional to 81,744 and 126,232

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Solution

The third proportional to 81,744 and 126,232 is: 194,931.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,744 : 126,232 = 126,232 : x
  2. Step 2: Convert to fraction form
    81,744/126,232 = 126,232/x
  3. Step 3: Cross multiply
    81,744x = 126,232 × 126,232
  4. Step 4: Simplify right side
    81,744x = 15,934,517,824
  5. Step 5: Solve for x
    x = 15,934,517,824/81,744
  6. Step 6: Final answer
    x = 194,931.96

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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.