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Finding the Third Proportional to 85,220.25 and 126,189.75

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Solution

The third proportional to 85,220.25 and 126,189.75 is: 186,855.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,220.25 : 126,189.75 = 126,189.75 : x
  2. Step 2: Convert to fraction form
    85,220.25/126,189.75 = 126,189.75/x
  3. Step 3: Cross multiply
    85,220.25x = 126,189.75 × 126,189.75
  4. Step 4: Simplify right side
    85,220.25x = 15,923,853,005.06
  5. Step 5: Solve for x
    x = 15,923,853,005.06/85,220.25
  6. Step 6: Final answer
    x = 186,855.27

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.