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Finding the Third Proportional to 96,831 and 142,065

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Solution

The third proportional to 96,831 and 142,065 is: 208,429.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,831 : 142,065 = 142,065 : x
  2. Step 2: Convert to fraction form
    96,831/142,065 = 142,065/x
  3. Step 3: Cross multiply
    96,831x = 142,065 × 142,065
  4. Step 4: Simplify right side
    96,831x = 20,182,464,225
  5. Step 5: Solve for x
    x = 20,182,464,225/96,831
  6. Step 6: Final answer
    x = 208,429.78

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.