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Finding the Third Proportional to 85,242 and 132,351

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Solution

The third proportional to 85,242 and 132,351 is: 205,494.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,242 : 132,351 = 132,351 : x
  2. Step 2: Convert to fraction form
    85,242/132,351 = 132,351/x
  3. Step 3: Cross multiply
    85,242x = 132,351 × 132,351
  4. Step 4: Simplify right side
    85,242x = 17,516,787,201
  5. Step 5: Solve for x
    x = 17,516,787,201/85,242
  6. Step 6: Final answer
    x = 205,494.79

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.