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Finding the Third Proportional to 90,774 and 140,877

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Solution

The third proportional to 90,774 and 140,877 is: 218,634.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,774 : 140,877 = 140,877 : x
  2. Step 2: Convert to fraction form
    90,774/140,877 = 140,877/x
  3. Step 3: Cross multiply
    90,774x = 140,877 × 140,877
  4. Step 4: Simplify right side
    90,774x = 19,846,329,129
  5. Step 5: Solve for x
    x = 19,846,329,129/90,774
  6. Step 6: Final answer
    x = 218,634.51

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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.