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Finding the Third Proportional to 60,298 and 122,238

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Solution

The third proportional to 60,298 and 122,238 is: 247,804.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,298 : 122,238 = 122,238 : x
  2. Step 2: Convert to fraction form
    60,298/122,238 = 122,238/x
  3. Step 3: Cross multiply
    60,298x = 122,238 × 122,238
  4. Step 4: Simplify right side
    60,298x = 14,942,128,644
  5. Step 5: Solve for x
    x = 14,942,128,644/60,298
  6. Step 6: Final answer
    x = 247,804.71

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.