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Finding the Third Proportional to 61,434 and 86,571

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Solution

The third proportional to 61,434 and 86,571 is: 121,993.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,434 : 86,571 = 86,571 : x
  2. Step 2: Convert to fraction form
    61,434/86,571 = 86,571/x
  3. Step 3: Cross multiply
    61,434x = 86,571 × 86,571
  4. Step 4: Simplify right side
    61,434x = 7,494,538,041
  5. Step 5: Solve for x
    x = 7,494,538,041/61,434
  6. Step 6: Final answer
    x = 121,993.33

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.