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Finding the Third Proportional to 70,279 and 112,404

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Solution

The third proportional to 70,279 and 112,404 is: 179,778.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,279 : 112,404 = 112,404 : x
  2. Step 2: Convert to fraction form
    70,279/112,404 = 112,404/x
  3. Step 3: Cross multiply
    70,279x = 112,404 × 112,404
  4. Step 4: Simplify right side
    70,279x = 12,634,659,216
  5. Step 5: Solve for x
    x = 12,634,659,216/70,279
  6. Step 6: Final answer
    x = 179,778.59

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.