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Finding the Third Proportional to 90,295 and 140,006

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Solution

The third proportional to 90,295 and 140,006 is: 217,084.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,295 : 140,006 = 140,006 : x
  2. Step 2: Convert to fraction form
    90,295/140,006 = 140,006/x
  3. Step 3: Cross multiply
    90,295x = 140,006 × 140,006
  4. Step 4: Simplify right side
    90,295x = 19,601,680,036
  5. Step 5: Solve for x
    x = 19,601,680,036/90,295
  6. Step 6: Final answer
    x = 217,084.89

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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.