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Finding the Third Proportional to 101,174 and 218,559

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Solution

The third proportional to 101,174 and 218,559 is: 472,137.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,174 : 218,559 = 218,559 : x
  2. Step 2: Convert to fraction form
    101,174/218,559 = 218,559/x
  3. Step 3: Cross multiply
    101,174x = 218,559 × 218,559
  4. Step 4: Simplify right side
    101,174x = 47,768,036,481
  5. Step 5: Solve for x
    x = 47,768,036,481/101,174
  6. Step 6: Final answer
    x = 472,137.47

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.