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Finding the Third Proportional to 90,744 and 136,216

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Solution

The third proportional to 90,744 and 136,216 is: 204,474.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,744 : 136,216 = 136,216 : x
  2. Step 2: Convert to fraction form
    90,744/136,216 = 136,216/x
  3. Step 3: Cross multiply
    90,744x = 136,216 × 136,216
  4. Step 4: Simplify right side
    90,744x = 18,554,798,656
  5. Step 5: Solve for x
    x = 18,554,798,656/90,744
  6. Step 6: Final answer
    x = 204,474.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.