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Finding the Third Proportional to 107,891 and 239,362

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Solution

The third proportional to 107,891 and 239,362 is: 531,037.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,891 : 239,362 = 239,362 : x
  2. Step 2: Convert to fraction form
    107,891/239,362 = 239,362/x
  3. Step 3: Cross multiply
    107,891x = 239,362 × 239,362
  4. Step 4: Simplify right side
    107,891x = 57,294,167,044
  5. Step 5: Solve for x
    x = 57,294,167,044/107,891
  6. Step 6: Final answer
    x = 531,037.50

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.