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Finding the Third Proportional to 90,977 and 123,602

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Solution

The third proportional to 90,977 and 123,602 is: 167,926.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,977 : 123,602 = 123,602 : x
  2. Step 2: Convert to fraction form
    90,977/123,602 = 123,602/x
  3. Step 3: Cross multiply
    90,977x = 123,602 × 123,602
  4. Step 4: Simplify right side
    90,977x = 15,277,454,404
  5. Step 5: Solve for x
    x = 15,277,454,404/90,977
  6. Step 6: Final answer
    x = 167,926.56

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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.