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Finding the Third Proportional to 71,013.50 and 154,738.50

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Solution

The third proportional to 71,013.50 and 154,738.50 is: 337,175.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,013.50 : 154,738.50 = 154,738.50 : x
  2. Step 2: Convert to fraction form
    71,013.50/154,738.50 = 154,738.50/x
  3. Step 3: Cross multiply
    71,013.50x = 154,738.50 × 154,738.50
  4. Step 4: Simplify right side
    71,013.50x = 23,944,003,382.25
  5. Step 5: Solve for x
    x = 23,944,003,382.25/71,013.50
  6. Step 6: Final answer
    x = 337,175.37

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.