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Finding the Third Proportional to 90,202 and 140,218

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Solution

The third proportional to 90,202 and 140,218 is: 217,967.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,202 : 140,218 = 140,218 : x
  2. Step 2: Convert to fraction form
    90,202/140,218 = 140,218/x
  3. Step 3: Cross multiply
    90,202x = 140,218 × 140,218
  4. Step 4: Simplify right side
    90,202x = 19,661,087,524
  5. Step 5: Solve for x
    x = 19,661,087,524/90,202
  6. Step 6: Final answer
    x = 217,967.31

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