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Finding the Third Proportional to 75,928 and 166,155

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Solution

The third proportional to 75,928 and 166,155 is: 363,600.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,928 : 166,155 = 166,155 : x
  2. Step 2: Convert to fraction form
    75,928/166,155 = 166,155/x
  3. Step 3: Cross multiply
    75,928x = 166,155 × 166,155
  4. Step 4: Simplify right side
    75,928x = 27,607,484,025
  5. Step 5: Solve for x
    x = 27,607,484,025/75,928
  6. Step 6: Final answer
    x = 363,600.83

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.