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Finding the Third Proportional to 62,198 and 134,224

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Solution

The third proportional to 62,198 and 134,224 is: 289,656.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,198 : 134,224 = 134,224 : x
  2. Step 2: Convert to fraction form
    62,198/134,224 = 134,224/x
  3. Step 3: Cross multiply
    62,198x = 134,224 × 134,224
  4. Step 4: Simplify right side
    62,198x = 18,016,082,176
  5. Step 5: Solve for x
    x = 18,016,082,176/62,198
  6. Step 6: Final answer
    x = 289,656.94

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.