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Finding the Third Proportional to 39,095 and 85,571

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Solution

The third proportional to 39,095 and 85,571 is: 187,297.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,095 : 85,571 = 85,571 : x
  2. Step 2: Convert to fraction form
    39,095/85,571 = 85,571/x
  3. Step 3: Cross multiply
    39,095x = 85,571 × 85,571
  4. Step 4: Simplify right side
    39,095x = 7,322,396,041
  5. Step 5: Solve for x
    x = 7,322,396,041/39,095
  6. Step 6: Final answer
    x = 187,297.51

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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.