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Finding the Third Proportional to 52,795.50 and 115,431

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Solution

The third proportional to 52,795.50 and 115,431 is: 252,375.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,795.50 : 115,431 = 115,431 : x
  2. Step 2: Convert to fraction form
    52,795.50/115,431 = 115,431/x
  3. Step 3: Cross multiply
    52,795.50x = 115,431 × 115,431
  4. Step 4: Simplify right side
    52,795.50x = 13,324,315,761
  5. Step 5: Solve for x
    x = 13,324,315,761/52,795.50
  6. Step 6: Final answer
    x = 252,375.97

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.