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Finding the Third Proportional to 150,928 and 163,872

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Solution

The third proportional to 150,928 and 163,872 is: 177,926.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,928 : 163,872 = 163,872 : x
  2. Step 2: Convert to fraction form
    150,928/163,872 = 163,872/x
  3. Step 3: Cross multiply
    150,928x = 163,872 × 163,872
  4. Step 4: Simplify right side
    150,928x = 26,854,032,384
  5. Step 5: Solve for x
    x = 26,854,032,384/150,928
  6. Step 6: Final answer
    x = 177,926.11

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.