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Finding the Third Proportional to 90,334 and 134,195

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Solution

The third proportional to 90,334 and 134,195 is: 199,352.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,334 : 134,195 = 134,195 : x
  2. Step 2: Convert to fraction form
    90,334/134,195 = 134,195/x
  3. Step 3: Cross multiply
    90,334x = 134,195 × 134,195
  4. Step 4: Simplify right side
    90,334x = 18,008,298,025
  5. Step 5: Solve for x
    x = 18,008,298,025/90,334
  6. Step 6: Final answer
    x = 199,352.38

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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.