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Finding the Third Proportional to 31,876 and 70,182

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Solution

The third proportional to 31,876 and 70,182 is: 154,521.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,876 : 70,182 = 70,182 : x
  2. Step 2: Convert to fraction form
    31,876/70,182 = 70,182/x
  3. Step 3: Cross multiply
    31,876x = 70,182 × 70,182
  4. Step 4: Simplify right side
    31,876x = 4,925,513,124
  5. Step 5: Solve for x
    x = 4,925,513,124/31,876
  6. Step 6: Final answer
    x = 154,521.05

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.