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Finding the Third Proportional to 85,882 and 126,336

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Solution

The third proportional to 85,882 and 126,336 is: 185,845.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,882 : 126,336 = 126,336 : x
  2. Step 2: Convert to fraction form
    85,882/126,336 = 126,336/x
  3. Step 3: Cross multiply
    85,882x = 126,336 × 126,336
  4. Step 4: Simplify right side
    85,882x = 15,960,784,896
  5. Step 5: Solve for x
    x = 15,960,784,896/85,882
  6. Step 6: Final answer
    x = 185,845.52

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.