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Finding the Third Proportional to 96,312 and 144,204

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Solution

The third proportional to 96,312 and 144,204 is: 215,910.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,312 : 144,204 = 144,204 : x
  2. Step 2: Convert to fraction form
    96,312/144,204 = 144,204/x
  3. Step 3: Cross multiply
    96,312x = 144,204 × 144,204
  4. Step 4: Simplify right side
    96,312x = 20,794,793,616
  5. Step 5: Solve for x
    x = 20,794,793,616/96,312
  6. Step 6: Final answer
    x = 215,910.72

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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.