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Finding the Third Proportional to 85,076 and 126,782

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Solution

The third proportional to 85,076 and 126,782 is: 188,933.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,076 : 126,782 = 126,782 : x
  2. Step 2: Convert to fraction form
    85,076/126,782 = 126,782/x
  3. Step 3: Cross multiply
    85,076x = 126,782 × 126,782
  4. Step 4: Simplify right side
    85,076x = 16,073,675,524
  5. Step 5: Solve for x
    x = 16,073,675,524/85,076
  6. Step 6: Final answer
    x = 188,933.14

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.