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Finding the Third Proportional to 90,084 and 140,229

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Solution

The third proportional to 90,084 and 140,229 is: 218,287.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,084 : 140,229 = 140,229 : x
  2. Step 2: Convert to fraction form
    90,084/140,229 = 140,229/x
  3. Step 3: Cross multiply
    90,084x = 140,229 × 140,229
  4. Step 4: Simplify right side
    90,084x = 19,664,172,441
  5. Step 5: Solve for x
    x = 19,664,172,441/90,084
  6. Step 6: Final answer
    x = 218,287.07

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.