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Finding the Third Proportional to 96,914 and 150,115

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Solution

The third proportional to 96,914 and 150,115 is: 232,520.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,914 : 150,115 = 150,115 : x
  2. Step 2: Convert to fraction form
    96,914/150,115 = 150,115/x
  3. Step 3: Cross multiply
    96,914x = 150,115 × 150,115
  4. Step 4: Simplify right side
    96,914x = 22,534,513,225
  5. Step 5: Solve for x
    x = 22,534,513,225/96,914
  6. Step 6: Final answer
    x = 232,520.72

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.