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Finding the Third Proportional to 107,936 and 160,796

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Solution

The third proportional to 107,936 and 160,796 is: 239,543.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,936 : 160,796 = 160,796 : x
  2. Step 2: Convert to fraction form
    107,936/160,796 = 160,796/x
  3. Step 3: Cross multiply
    107,936x = 160,796 × 160,796
  4. Step 4: Simplify right side
    107,936x = 25,855,353,616
  5. Step 5: Solve for x
    x = 25,855,353,616/107,936
  6. Step 6: Final answer
    x = 239,543.37

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.