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Finding the Third Proportional to 131,517 and 195,246

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Solution

The third proportional to 131,517 and 195,246 is: 289,856.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,517 : 195,246 = 195,246 : x
  2. Step 2: Convert to fraction form
    131,517/195,246 = 195,246/x
  3. Step 3: Cross multiply
    131,517x = 195,246 × 195,246
  4. Step 4: Simplify right side
    131,517x = 38,121,000,516
  5. Step 5: Solve for x
    x = 38,121,000,516/131,517
  6. Step 6: Final answer
    x = 289,856.07

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.