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Finding the Third Proportional to 115,996 and 173,940

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Solution

The third proportional to 115,996 and 173,940 is: 260,829.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,996 : 173,940 = 173,940 : x
  2. Step 2: Convert to fraction form
    115,996/173,940 = 173,940/x
  3. Step 3: Cross multiply
    115,996x = 173,940 × 173,940
  4. Step 4: Simplify right side
    115,996x = 30,255,123,600
  5. Step 5: Solve for x
    x = 30,255,123,600/115,996
  6. Step 6: Final answer
    x = 260,829.03

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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.