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Finding the Third Proportional to 54,150 and 84,965

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Solution

The third proportional to 54,150 and 84,965 is: 133,315.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,150 : 84,965 = 84,965 : x
  2. Step 2: Convert to fraction form
    54,150/84,965 = 84,965/x
  3. Step 3: Cross multiply
    54,150x = 84,965 × 84,965
  4. Step 4: Simplify right side
    54,150x = 7,219,051,225
  5. Step 5: Solve for x
    x = 7,219,051,225/54,150
  6. Step 6: Final answer
    x = 133,315.81

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Why These Related Problems?

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