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Finding the Third Proportional to 71,299 and 154,916

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Solution

The third proportional to 71,299 and 154,916 is: 336,596.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,299 : 154,916 = 154,916 : x
  2. Step 2: Convert to fraction form
    71,299/154,916 = 154,916/x
  3. Step 3: Cross multiply
    71,299x = 154,916 × 154,916
  4. Step 4: Simplify right side
    71,299x = 23,998,967,056
  5. Step 5: Solve for x
    x = 23,998,967,056/71,299
  6. Step 6: Final answer
    x = 336,596.12

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.