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Finding the Third Proportional to 73,992 and 113,850

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Solution

The third proportional to 73,992 and 113,850 is: 175,178.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,992 : 113,850 = 113,850 : x
  2. Step 2: Convert to fraction form
    73,992/113,850 = 113,850/x
  3. Step 3: Cross multiply
    73,992x = 113,850 × 113,850
  4. Step 4: Simplify right side
    73,992x = 12,961,822,500
  5. Step 5: Solve for x
    x = 12,961,822,500/73,992
  6. Step 6: Final answer
    x = 175,178.70

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.