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Finding the Third Proportional to 126,148 and 210,238

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Solution

The third proportional to 126,148 and 210,238 is: 350,382.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,148 : 210,238 = 210,238 : x
  2. Step 2: Convert to fraction form
    126,148/210,238 = 210,238/x
  3. Step 3: Cross multiply
    126,148x = 210,238 × 210,238
  4. Step 4: Simplify right side
    126,148x = 44,200,016,644
  5. Step 5: Solve for x
    x = 44,200,016,644/126,148
  6. Step 6: Final answer
    x = 350,382.22

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.