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Finding the Third Proportional to 90,302 and 135,126

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Solution

The third proportional to 90,302 and 135,126 is: 202,199.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,302 : 135,126 = 135,126 : x
  2. Step 2: Convert to fraction form
    90,302/135,126 = 135,126/x
  3. Step 3: Cross multiply
    90,302x = 135,126 × 135,126
  4. Step 4: Simplify right side
    90,302x = 18,259,035,876
  5. Step 5: Solve for x
    x = 18,259,035,876/90,302
  6. Step 6: Final answer
    x = 202,199.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.