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Finding the Third Proportional to 101,472 and 217,026

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Solution

The third proportional to 101,472 and 217,026 is: 464,170.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,472 : 217,026 = 217,026 : x
  2. Step 2: Convert to fraction form
    101,472/217,026 = 217,026/x
  3. Step 3: Cross multiply
    101,472x = 217,026 × 217,026
  4. Step 4: Simplify right side
    101,472x = 47,100,284,676
  5. Step 5: Solve for x
    x = 47,100,284,676/101,472
  6. Step 6: Final answer
    x = 464,170.26

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.