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Finding the Third Proportional to 85,796 and 131,246

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Solution

The third proportional to 85,796 and 131,246 is: 200,772.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,796 : 131,246 = 131,246 : x
  2. Step 2: Convert to fraction form
    85,796/131,246 = 131,246/x
  3. Step 3: Cross multiply
    85,796x = 131,246 × 131,246
  4. Step 4: Simplify right side
    85,796x = 17,225,512,516
  5. Step 5: Solve for x
    x = 17,225,512,516/85,796
  6. Step 6: Final answer
    x = 200,772.91

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.