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Finding the Third Proportional to 96,876 and 131,490

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Solution

The third proportional to 96,876 and 131,490 is: 178,471.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,876 : 131,490 = 131,490 : x
  2. Step 2: Convert to fraction form
    96,876/131,490 = 131,490/x
  3. Step 3: Cross multiply
    96,876x = 131,490 × 131,490
  4. Step 4: Simplify right side
    96,876x = 17,289,620,100
  5. Step 5: Solve for x
    x = 17,289,620,100/96,876
  6. Step 6: Final answer
    x = 178,471.66

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.