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Finding the Third Proportional to 75,765.75 and 112,182.75

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Solution

The third proportional to 75,765.75 and 112,182.75 is: 166,103.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,765.75 : 112,182.75 = 112,182.75 : x
  2. Step 2: Convert to fraction form
    75,765.75/112,182.75 = 112,182.75/x
  3. Step 3: Cross multiply
    75,765.75x = 112,182.75 × 112,182.75
  4. Step 4: Simplify right side
    75,765.75x = 12,584,969,397.56
  5. Step 5: Solve for x
    x = 12,584,969,397.56/75,765.75
  6. Step 6: Final answer
    x = 166,103.67

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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.