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Finding the Third Proportional to 137,617.50 and 203,874

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Solution

The third proportional to 137,617.50 and 203,874 is: 302,029.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,617.50 : 203,874 = 203,874 : x
  2. Step 2: Convert to fraction form
    137,617.50/203,874 = 203,874/x
  3. Step 3: Cross multiply
    137,617.50x = 203,874 × 203,874
  4. Step 4: Simplify right side
    137,617.50x = 41,564,607,876
  5. Step 5: Solve for x
    x = 41,564,607,876/137,617.50
  6. Step 6: Final answer
    x = 302,029.96

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.