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Finding the Third Proportional to 64,081.13 and 96,121.69

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Solution

The third proportional to 64,081.13 and 96,121.69 is: 144,182.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,081.13 : 96,121.69 = 96,121.69 : x
  2. Step 2: Convert to fraction form
    64,081.13/96,121.69 = 96,121.69/x
  3. Step 3: Cross multiply
    64,081.13x = 96,121.69 × 96,121.69
  4. Step 4: Simplify right side
    64,081.13x = 9,239,378,807.85
  5. Step 5: Solve for x
    x = 9,239,378,807.85/64,081.13
  6. Step 6: Final answer
    x = 144,182.53

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.