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Finding the Third Proportional to 101,586 and 217,752

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Solution

The third proportional to 101,586 and 217,752 is: 466,756.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,586 : 217,752 = 217,752 : x
  2. Step 2: Convert to fraction form
    101,586/217,752 = 217,752/x
  3. Step 3: Cross multiply
    101,586x = 217,752 × 217,752
  4. Step 4: Simplify right side
    101,586x = 47,415,933,504
  5. Step 5: Solve for x
    x = 47,415,933,504/101,586
  6. Step 6: Final answer
    x = 466,756.58

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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.