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Finding the Third Proportional to 93,864 and 140,328

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Solution

The third proportional to 93,864 and 140,328 is: 209,792.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,864 : 140,328 = 140,328 : x
  2. Step 2: Convert to fraction form
    93,864/140,328 = 140,328/x
  3. Step 3: Cross multiply
    93,864x = 140,328 × 140,328
  4. Step 4: Simplify right side
    93,864x = 19,691,947,584
  5. Step 5: Solve for x
    x = 19,691,947,584/93,864
  6. Step 6: Final answer
    x = 209,792.33

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.