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Finding the Third Proportional to 96,340 and 131,246

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Solution

The third proportional to 96,340 and 131,246 is: 178,799.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,340 : 131,246 = 131,246 : x
  2. Step 2: Convert to fraction form
    96,340/131,246 = 131,246/x
  3. Step 3: Cross multiply
    96,340x = 131,246 × 131,246
  4. Step 4: Simplify right side
    96,340x = 17,225,512,516
  5. Step 5: Solve for x
    x = 17,225,512,516/96,340
  6. Step 6: Final answer
    x = 178,799.17

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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.