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Finding the Third Proportional to 39,161 and 59,661

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Solution

The third proportional to 39,161 and 59,661 is: 90,892.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,161 : 59,661 = 59,661 : x
  2. Step 2: Convert to fraction form
    39,161/59,661 = 59,661/x
  3. Step 3: Cross multiply
    39,161x = 59,661 × 59,661
  4. Step 4: Simplify right side
    39,161x = 3,559,434,921
  5. Step 5: Solve for x
    x = 3,559,434,921/39,161
  6. Step 6: Final answer
    x = 90,892.34

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.