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Finding the Third Proportional to 74,600 and 113,848

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Solution

The third proportional to 74,600 and 113,848 is: 173,744.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,600 : 113,848 = 113,848 : x
  2. Step 2: Convert to fraction form
    74,600/113,848 = 113,848/x
  3. Step 3: Cross multiply
    74,600x = 113,848 × 113,848
  4. Step 4: Simplify right side
    74,600x = 12,961,367,104
  5. Step 5: Solve for x
    x = 12,961,367,104/74,600
  6. Step 6: Final answer
    x = 173,744.87

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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.