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Finding the Third Proportional to 82,012 and 122,589

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Solution

The third proportional to 82,012 and 122,589 is: 183,242.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,012 : 122,589 = 122,589 : x
  2. Step 2: Convert to fraction form
    82,012/122,589 = 122,589/x
  3. Step 3: Cross multiply
    82,012x = 122,589 × 122,589
  4. Step 4: Simplify right side
    82,012x = 15,028,062,921
  5. Step 5: Solve for x
    x = 15,028,062,921/82,012
  6. Step 6: Final answer
    x = 183,242.24

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.