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Finding the Third Proportional to 90,975 and 123,599

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Solution

The third proportional to 90,975 and 123,599 is: 167,922.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,975 : 123,599 = 123,599 : x
  2. Step 2: Convert to fraction form
    90,975/123,599 = 123,599/x
  3. Step 3: Cross multiply
    90,975x = 123,599 × 123,599
  4. Step 4: Simplify right side
    90,975x = 15,276,712,801
  5. Step 5: Solve for x
    x = 15,276,712,801/90,975
  6. Step 6: Final answer
    x = 167,922.10

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.