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Finding the Third Proportional to 80,156 and 113,934

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Solution

The third proportional to 80,156 and 113,934 is: 161,946.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,156 : 113,934 = 113,934 : x
  2. Step 2: Convert to fraction form
    80,156/113,934 = 113,934/x
  3. Step 3: Cross multiply
    80,156x = 113,934 × 113,934
  4. Step 4: Simplify right side
    80,156x = 12,980,956,356
  5. Step 5: Solve for x
    x = 12,980,956,356/80,156
  6. Step 6: Final answer
    x = 161,946.16

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.