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Finding the Third Proportional to 109,250 and 149,517

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Solution

The third proportional to 109,250 and 149,517 is: 204,625.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,250 : 149,517 = 149,517 : x
  2. Step 2: Convert to fraction form
    109,250/149,517 = 149,517/x
  3. Step 3: Cross multiply
    109,250x = 149,517 × 149,517
  4. Step 4: Simplify right side
    109,250x = 22,355,333,289
  5. Step 5: Solve for x
    x = 22,355,333,289/109,250
  6. Step 6: Final answer
    x = 204,625.48

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.