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Finding the Third Proportional to 113,884 and 182,978

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Solution

The third proportional to 113,884 and 182,978 is: 293,991.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,884 : 182,978 = 182,978 : x
  2. Step 2: Convert to fraction form
    113,884/182,978 = 182,978/x
  3. Step 3: Cross multiply
    113,884x = 182,978 × 182,978
  4. Step 4: Simplify right side
    113,884x = 33,480,948,484
  5. Step 5: Solve for x
    x = 33,480,948,484/113,884
  6. Step 6: Final answer
    x = 293,991.68

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.