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Finding the Third Proportional to 36,231.68 and 78,494.70

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Solution

The third proportional to 36,231.68 and 78,494.70 is: 170,056.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,231.68 : 78,494.70 = 78,494.70 : x
  2. Step 2: Convert to fraction form
    36,231.68/78,494.70 = 78,494.70/x
  3. Step 3: Cross multiply
    36,231.68x = 78,494.70 × 78,494.70
  4. Step 4: Simplify right side
    36,231.68x = 6,161,417,192.20
  5. Step 5: Solve for x
    x = 6,161,417,192.20/36,231.68
  6. Step 6: Final answer
    x = 170,056.07

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.