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Finding the Third Proportional to 90,879 and 139,497

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Solution

The third proportional to 90,879 and 139,497 is: 214,124.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,879 : 139,497 = 139,497 : x
  2. Step 2: Convert to fraction form
    90,879/139,497 = 139,497/x
  3. Step 3: Cross multiply
    90,879x = 139,497 × 139,497
  4. Step 4: Simplify right side
    90,879x = 19,459,413,009
  5. Step 5: Solve for x
    x = 19,459,413,009/90,879
  6. Step 6: Final answer
    x = 214,124.42

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.