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Finding the Third Proportional to 85,220.44 and 126,182.81

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Solution

The third proportional to 85,220.44 and 126,182.81 is: 186,834.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,220.44 : 126,182.81 = 126,182.81 : x
  2. Step 2: Convert to fraction form
    85,220.44/126,182.81 = 126,182.81/x
  3. Step 3: Cross multiply
    85,220.44x = 126,182.81 × 126,182.81
  4. Step 4: Simplify right side
    85,220.44x = 15,922,102,170.41
  5. Step 5: Solve for x
    x = 15,922,102,170.41/85,220.44
  6. Step 6: Final answer
    x = 186,834.32

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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.