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Finding the Third Proportional to 106,938 and 160,816

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Solution

The third proportional to 106,938 and 160,816 is: 241,839.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,938 : 160,816 = 160,816 : x
  2. Step 2: Convert to fraction form
    106,938/160,816 = 160,816/x
  3. Step 3: Cross multiply
    106,938x = 160,816 × 160,816
  4. Step 4: Simplify right side
    106,938x = 25,861,785,856
  5. Step 5: Solve for x
    x = 25,861,785,856/106,938
  6. Step 6: Final answer
    x = 241,839.06

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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.