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Finding the Third Proportional to 96,468 and 150,876

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Solution

The third proportional to 96,468 and 150,876 is: 235,970.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,468 : 150,876 = 150,876 : x
  2. Step 2: Convert to fraction form
    96,468/150,876 = 150,876/x
  3. Step 3: Cross multiply
    96,468x = 150,876 × 150,876
  4. Step 4: Simplify right side
    96,468x = 22,763,567,376
  5. Step 5: Solve for x
    x = 22,763,567,376/96,468
  6. Step 6: Final answer
    x = 235,970.14

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.