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Finding the Third Proportional to 35,135 and 54,161

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Solution

The third proportional to 35,135 and 54,161 is: 83,489.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,135 : 54,161 = 54,161 : x
  2. Step 2: Convert to fraction form
    35,135/54,161 = 54,161/x
  3. Step 3: Cross multiply
    35,135x = 54,161 × 54,161
  4. Step 4: Simplify right side
    35,135x = 2,933,413,921
  5. Step 5: Solve for x
    x = 2,933,413,921/35,135
  6. Step 6: Final answer
    x = 83,489.79

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.