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Finding the Third Proportional to 85,864 and 131,348

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Solution

The third proportional to 85,864 and 131,348 is: 200,925.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,864 : 131,348 = 131,348 : x
  2. Step 2: Convert to fraction form
    85,864/131,348 = 131,348/x
  3. Step 3: Cross multiply
    85,864x = 131,348 × 131,348
  4. Step 4: Simplify right side
    85,864x = 17,252,297,104
  5. Step 5: Solve for x
    x = 17,252,297,104/85,864
  6. Step 6: Final answer
    x = 200,925.85

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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.