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Finding the Third Proportional to 126,967 and 200,877

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Solution

The third proportional to 126,967 and 200,877 is: 317,811.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,967 : 200,877 = 200,877 : x
  2. Step 2: Convert to fraction form
    126,967/200,877 = 200,877/x
  3. Step 3: Cross multiply
    126,967x = 200,877 × 200,877
  4. Step 4: Simplify right side
    126,967x = 40,351,569,129
  5. Step 5: Solve for x
    x = 40,351,569,129/126,967
  6. Step 6: Final answer
    x = 317,811.47

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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.