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Finding the Third Proportional to 90,822.75 and 134,938.13

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Solution

The third proportional to 90,822.75 and 134,938.13 is: 200,481.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,822.75 : 134,938.13 = 134,938.13 : x
  2. Step 2: Convert to fraction form
    90,822.75/134,938.13 = 134,938.13/x
  3. Step 3: Cross multiply
    90,822.75x = 134,938.13 × 134,938.13
  4. Step 4: Simplify right side
    90,822.75x = 18,208,297,578.52
  5. Step 5: Solve for x
    x = 18,208,297,578.52/90,822.75
  6. Step 6: Final answer
    x = 200,481.68

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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.