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Finding the Third Proportional to 95,967 and 149,355

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Solution

The third proportional to 95,967 and 149,355 is: 232,443.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,967 : 149,355 = 149,355 : x
  2. Step 2: Convert to fraction form
    95,967/149,355 = 149,355/x
  3. Step 3: Cross multiply
    95,967x = 149,355 × 149,355
  4. Step 4: Simplify right side
    95,967x = 22,306,916,025
  5. Step 5: Solve for x
    x = 22,306,916,025/95,967
  6. Step 6: Final answer
    x = 232,443.61

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.