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Finding the Third Proportional to 90,864 and 137,936

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Solution

The third proportional to 90,864 and 137,936 is: 209,393.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,864 : 137,936 = 137,936 : x
  2. Step 2: Convert to fraction form
    90,864/137,936 = 137,936/x
  3. Step 3: Cross multiply
    90,864x = 137,936 × 137,936
  4. Step 4: Simplify right side
    90,864x = 19,026,340,096
  5. Step 5: Solve for x
    x = 19,026,340,096/90,864
  6. Step 6: Final answer
    x = 209,393.60

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.