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Finding the Third Proportional to 85,845.13 and 126,285.88

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Solution

The third proportional to 85,845.13 and 126,285.88 is: 185,777.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,845.13 : 126,285.88 = 126,285.88 : x
  2. Step 2: Convert to fraction form
    85,845.13/126,285.88 = 126,285.88/x
  3. Step 3: Cross multiply
    85,845.13x = 126,285.88 × 126,285.88
  4. Step 4: Simplify right side
    85,845.13x = 15,948,122,224.52
  5. Step 5: Solve for x
    x = 15,948,122,224.52/85,845.13
  6. Step 6: Final answer
    x = 185,777.84

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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.