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Finding the Third Proportional to 138,606 and 214,533

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Solution

The third proportional to 138,606 and 214,533 is: 332,052.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,606 : 214,533 = 214,533 : x
  2. Step 2: Convert to fraction form
    138,606/214,533 = 214,533/x
  3. Step 3: Cross multiply
    138,606x = 214,533 × 214,533
  4. Step 4: Simplify right side
    138,606x = 46,024,408,089
  5. Step 5: Solve for x
    x = 46,024,408,089/138,606
  6. Step 6: Final answer
    x = 332,052.06

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.