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Finding the Third Proportional to 137,941 and 207,371

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Solution

The third proportional to 137,941 and 207,371 is: 311,747.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,941 : 207,371 = 207,371 : x
  2. Step 2: Convert to fraction form
    137,941/207,371 = 207,371/x
  3. Step 3: Cross multiply
    137,941x = 207,371 × 207,371
  4. Step 4: Simplify right side
    137,941x = 43,002,731,641
  5. Step 5: Solve for x
    x = 43,002,731,641/137,941
  6. Step 6: Final answer
    x = 311,747.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.