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Finding the Third Proportional to 109,938 and 239,562

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Solution

The third proportional to 109,938 and 239,562 is: 522,021.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,938 : 239,562 = 239,562 : x
  2. Step 2: Convert to fraction form
    109,938/239,562 = 239,562/x
  3. Step 3: Cross multiply
    109,938x = 239,562 × 239,562
  4. Step 4: Simplify right side
    109,938x = 57,389,951,844
  5. Step 5: Solve for x
    x = 57,389,951,844/109,938
  6. Step 6: Final answer
    x = 522,021.07

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.