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Finding the Third Proportional to 54,195 and 85,128

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Solution

The third proportional to 54,195 and 85,128 is: 133,716.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,195 : 85,128 = 85,128 : x
  2. Step 2: Convert to fraction form
    54,195/85,128 = 85,128/x
  3. Step 3: Cross multiply
    54,195x = 85,128 × 85,128
  4. Step 4: Simplify right side
    54,195x = 7,246,776,384
  5. Step 5: Solve for x
    x = 7,246,776,384/54,195
  6. Step 6: Final answer
    x = 133,716.70

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.