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Finding the Third Proportional to 136,086 and 177,885

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Solution

The third proportional to 136,086 and 177,885 is: 232,522.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,086 : 177,885 = 177,885 : x
  2. Step 2: Convert to fraction form
    136,086/177,885 = 177,885/x
  3. Step 3: Cross multiply
    136,086x = 177,885 × 177,885
  4. Step 4: Simplify right side
    136,086x = 31,643,073,225
  5. Step 5: Solve for x
    x = 31,643,073,225/136,086
  6. Step 6: Final answer
    x = 232,522.62

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.