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Finding the Third Proportional to 90,774 and 140,472

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Solution

The third proportional to 90,774 and 140,472 is: 217,379.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,774 : 140,472 = 140,472 : x
  2. Step 2: Convert to fraction form
    90,774/140,472 = 140,472/x
  3. Step 3: Cross multiply
    90,774x = 140,472 × 140,472
  4. Step 4: Simplify right side
    90,774x = 19,732,382,784
  5. Step 5: Solve for x
    x = 19,732,382,784/90,774
  6. Step 6: Final answer
    x = 217,379.24

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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.