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Finding the Third Proportional to 101,502 and 217,965

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Solution

The third proportional to 101,502 and 217,965 is: 468,057.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,502 : 217,965 = 217,965 : x
  2. Step 2: Convert to fraction form
    101,502/217,965 = 217,965/x
  3. Step 3: Cross multiply
    101,502x = 217,965 × 217,965
  4. Step 4: Simplify right side
    101,502x = 47,508,741,225
  5. Step 5: Solve for x
    x = 47,508,741,225/101,502
  6. Step 6: Final answer
    x = 468,057.19

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.