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Finding the Third Proportional to 90,198 and 128,208

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Solution

The third proportional to 90,198 and 128,208 is: 182,235.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,198 : 128,208 = 128,208 : x
  2. Step 2: Convert to fraction form
    90,198/128,208 = 128,208/x
  3. Step 3: Cross multiply
    90,198x = 128,208 × 128,208
  4. Step 4: Simplify right side
    90,198x = 16,437,291,264
  5. Step 5: Solve for x
    x = 16,437,291,264/90,198
  6. Step 6: Final answer
    x = 182,235.65

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.