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Finding the Third Proportional to 86,118.50 and 126,626

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Solution

The third proportional to 86,118.50 and 126,626 is: 186,186.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,118.50 : 126,626 = 126,626 : x
  2. Step 2: Convert to fraction form
    86,118.50/126,626 = 126,626/x
  3. Step 3: Cross multiply
    86,118.50x = 126,626 × 126,626
  4. Step 4: Simplify right side
    86,118.50x = 16,034,143,876
  5. Step 5: Solve for x
    x = 16,034,143,876/86,118.50
  6. Step 6: Final answer
    x = 186,186.99

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.