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Finding the Third Proportional to 90,256 and 134,864

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Solution

The third proportional to 90,256 and 134,864 is: 201,519.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,256 : 134,864 = 134,864 : x
  2. Step 2: Convert to fraction form
    90,256/134,864 = 134,864/x
  3. Step 3: Cross multiply
    90,256x = 134,864 × 134,864
  4. Step 4: Simplify right side
    90,256x = 18,188,298,496
  5. Step 5: Solve for x
    x = 18,188,298,496/90,256
  6. Step 6: Final answer
    x = 201,519.00

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.