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Finding the Third Proportional to 73,103 and 109,366

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Solution

The third proportional to 73,103 and 109,366 is: 163,617.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,103 : 109,366 = 109,366 : x
  2. Step 2: Convert to fraction form
    73,103/109,366 = 109,366/x
  3. Step 3: Cross multiply
    73,103x = 109,366 × 109,366
  4. Step 4: Simplify right side
    73,103x = 11,960,921,956
  5. Step 5: Solve for x
    x = 11,960,921,956/73,103
  6. Step 6: Final answer
    x = 163,617.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.