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Finding the Third Proportional to 96,410.25 and 144,045.84

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Solution

The third proportional to 96,410.25 and 144,045.84 is: 215,217.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,410.25 : 144,045.84 = 144,045.84 : x
  2. Step 2: Convert to fraction form
    96,410.25/144,045.84 = 144,045.84/x
  3. Step 3: Cross multiply
    96,410.25x = 144,045.84 × 144,045.84
  4. Step 4: Simplify right side
    96,410.25x = 20,749,205,101.65
  5. Step 5: Solve for x
    x = 20,749,205,101.65/96,410.25
  6. Step 6: Final answer
    x = 215,217.83

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.