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Finding the Third Proportional to 82,108 and 123,759

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Solution

The third proportional to 82,108 and 123,759 is: 186,538.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,108 : 123,759 = 123,759 : x
  2. Step 2: Convert to fraction form
    82,108/123,759 = 123,759/x
  3. Step 3: Cross multiply
    82,108x = 123,759 × 123,759
  4. Step 4: Simplify right side
    82,108x = 15,316,290,081
  5. Step 5: Solve for x
    x = 15,316,290,081/82,108
  6. Step 6: Final answer
    x = 186,538.34

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.