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Finding the Third Proportional to 80,233.50 and 112,165.50

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Solution

The third proportional to 80,233.50 and 112,165.50 is: 156,806.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,233.50 : 112,165.50 = 112,165.50 : x
  2. Step 2: Convert to fraction form
    80,233.50/112,165.50 = 112,165.50/x
  3. Step 3: Cross multiply
    80,233.50x = 112,165.50 × 112,165.50
  4. Step 4: Simplify right side
    80,233.50x = 12,581,099,390.25
  5. Step 5: Solve for x
    x = 12,581,099,390.25/80,233.50
  6. Step 6: Final answer
    x = 156,806.06

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.