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Finding the Third Proportional to 95,929 and 150,155

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Solution

The third proportional to 95,929 and 150,155 is: 235,033.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,929 : 150,155 = 150,155 : x
  2. Step 2: Convert to fraction form
    95,929/150,155 = 150,155/x
  3. Step 3: Cross multiply
    95,929x = 150,155 × 150,155
  4. Step 4: Simplify right side
    95,929x = 22,546,524,025
  5. Step 5: Solve for x
    x = 22,546,524,025/95,929
  6. Step 6: Final answer
    x = 235,033.45

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.