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Finding the Third Proportional to 126,638 and 200,526

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Solution

The third proportional to 126,638 and 200,526 is: 317,524.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,638 : 200,526 = 200,526 : x
  2. Step 2: Convert to fraction form
    126,638/200,526 = 200,526/x
  3. Step 3: Cross multiply
    126,638x = 200,526 × 200,526
  4. Step 4: Simplify right side
    126,638x = 40,210,676,676
  5. Step 5: Solve for x
    x = 40,210,676,676/126,638
  6. Step 6: Final answer
    x = 317,524.57

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.