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Finding the Third Proportional to 103,031 and 217,132

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Solution

The third proportional to 103,031 and 217,132 is: 457,593.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,031 : 217,132 = 217,132 : x
  2. Step 2: Convert to fraction form
    103,031/217,132 = 217,132/x
  3. Step 3: Cross multiply
    103,031x = 217,132 × 217,132
  4. Step 4: Simplify right side
    103,031x = 47,146,305,424
  5. Step 5: Solve for x
    x = 47,146,305,424/103,031
  6. Step 6: Final answer
    x = 457,593.40

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.