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Finding the Third Proportional to 86,158.69 and 131,728.78

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Solution

The third proportional to 86,158.69 and 131,728.78 is: 201,401.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,158.69 : 131,728.78 = 131,728.78 : x
  2. Step 2: Convert to fraction form
    86,158.69/131,728.78 = 131,728.78/x
  3. Step 3: Cross multiply
    86,158.69x = 131,728.78 × 131,728.78
  4. Step 4: Simplify right side
    86,158.69x = 17,352,471,809.61
  5. Step 5: Solve for x
    x = 17,352,471,809.61/86,158.69
  6. Step 6: Final answer
    x = 201,401.30

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.