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Finding the Third Proportional to 90,433.50 and 123,923

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Solution

The third proportional to 90,433.50 and 123,923 is: 169,814.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,433.50 : 123,923 = 123,923 : x
  2. Step 2: Convert to fraction form
    90,433.50/123,923 = 123,923/x
  3. Step 3: Cross multiply
    90,433.50x = 123,923 × 123,923
  4. Step 4: Simplify right side
    90,433.50x = 15,356,909,929
  5. Step 5: Solve for x
    x = 15,356,909,929/90,433.50
  6. Step 6: Final answer
    x = 169,814.39

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.