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Finding the Third Proportional to 81,960 and 126,580

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Solution

The third proportional to 81,960 and 126,580 is: 195,491.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,960 : 126,580 = 126,580 : x
  2. Step 2: Convert to fraction form
    81,960/126,580 = 126,580/x
  3. Step 3: Cross multiply
    81,960x = 126,580 × 126,580
  4. Step 4: Simplify right side
    81,960x = 16,022,496,400
  5. Step 5: Solve for x
    x = 16,022,496,400/81,960
  6. Step 6: Final answer
    x = 195,491.66

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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.