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Finding the Third Proportional to 104,914 and 158,249

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Solution

The third proportional to 104,914 and 158,249 is: 238,697.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,914 : 158,249 = 158,249 : x
  2. Step 2: Convert to fraction form
    104,914/158,249 = 158,249/x
  3. Step 3: Cross multiply
    104,914x = 158,249 × 158,249
  4. Step 4: Simplify right side
    104,914x = 25,042,746,001
  5. Step 5: Solve for x
    x = 25,042,746,001/104,914
  6. Step 6: Final answer
    x = 238,697.85

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.