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Finding the Third Proportional to 86,119.50 and 126,627.75

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Solution

The third proportional to 86,119.50 and 126,627.75 is: 186,189.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,119.50 : 126,627.75 = 126,627.75 : x
  2. Step 2: Convert to fraction form
    86,119.50/126,627.75 = 126,627.75/x
  3. Step 3: Cross multiply
    86,119.50x = 126,627.75 × 126,627.75
  4. Step 4: Simplify right side
    86,119.50x = 16,034,587,070.06
  5. Step 5: Solve for x
    x = 16,034,587,070.06/86,119.50
  6. Step 6: Final answer
    x = 186,189.97

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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.