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Finding the Third Proportional to 36,145.20 and 78,322.99

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Solution

The third proportional to 36,145.20 and 78,322.99 is: 169,718.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,145.20 : 78,322.99 = 78,322.99 : x
  2. Step 2: Convert to fraction form
    36,145.20/78,322.99 = 78,322.99/x
  3. Step 3: Cross multiply
    36,145.20x = 78,322.99 × 78,322.99
  4. Step 4: Simplify right side
    36,145.20x = 6,134,491,105.20
  5. Step 5: Solve for x
    x = 6,134,491,105.20/36,145.20
  6. Step 6: Final answer
    x = 169,718.02

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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.