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Finding the Third Proportional to 90,424 and 140,012

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Solution

The third proportional to 90,424 and 140,012 is: 216,793.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,424 : 140,012 = 140,012 : x
  2. Step 2: Convert to fraction form
    90,424/140,012 = 140,012/x
  3. Step 3: Cross multiply
    90,424x = 140,012 × 140,012
  4. Step 4: Simplify right side
    90,424x = 19,603,360,144
  5. Step 5: Solve for x
    x = 19,603,360,144/90,424
  6. Step 6: Final answer
    x = 216,793.77

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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.