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Finding the Third Proportional to 113,839 and 182,908.50

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Solution

The third proportional to 113,839 and 182,908.50 is: 293,884.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,839 : 182,908.50 = 182,908.50 : x
  2. Step 2: Convert to fraction form
    113,839/182,908.50 = 182,908.50/x
  3. Step 3: Cross multiply
    113,839x = 182,908.50 × 182,908.50
  4. Step 4: Simplify right side
    113,839x = 33,455,519,372.25
  5. Step 5: Solve for x
    x = 33,455,519,372.25/113,839
  6. Step 6: Final answer
    x = 293,884.52

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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.