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Finding the Third Proportional to 80,151 and 113,926.50

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Solution

The third proportional to 80,151 and 113,926.50 is: 161,934.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,151 : 113,926.50 = 113,926.50 : x
  2. Step 2: Convert to fraction form
    80,151/113,926.50 = 113,926.50/x
  3. Step 3: Cross multiply
    80,151x = 113,926.50 × 113,926.50
  4. Step 4: Simplify right side
    80,151x = 12,979,247,402.25
  5. Step 5: Solve for x
    x = 12,979,247,402.25/80,151
  6. Step 6: Final answer
    x = 161,934.94

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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.