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Finding the Third Proportional to 80,739 and 126,013.50

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Solution

The third proportional to 80,739 and 126,013.50 is: 196,675.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,739 : 126,013.50 = 126,013.50 : x
  2. Step 2: Convert to fraction form
    80,739/126,013.50 = 126,013.50/x
  3. Step 3: Cross multiply
    80,739x = 126,013.50 × 126,013.50
  4. Step 4: Simplify right side
    80,739x = 15,879,402,182.25
  5. Step 5: Solve for x
    x = 15,879,402,182.25/80,739
  6. Step 6: Final answer
    x = 196,675.74

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.