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Finding the Third Proportional to 85,989.94 and 126,456.19

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Solution

The third proportional to 85,989.94 and 126,456.19 is: 185,965.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,989.94 : 126,456.19 = 126,456.19 : x
  2. Step 2: Convert to fraction form
    85,989.94/126,456.19 = 126,456.19/x
  3. Step 3: Cross multiply
    85,989.94x = 126,456.19 × 126,456.19
  4. Step 4: Simplify right side
    85,989.94x = 15,991,167,357.04
  5. Step 5: Solve for x
    x = 15,991,167,357.04/85,989.94
  6. Step 6: Final answer
    x = 185,965.57

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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.