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Finding the Third Proportional to 73.09 and 108.21

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Solution

The third proportional to 73.09 and 108.21 is: 160.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    73.09 : 108.21 = 108.21 : x
  2. Step 2: Convert to fraction form
    73.09/108.21 = 108.21/x
  3. Step 3: Cross multiply
    73.09x = 108.21 × 108.21
  4. Step 4: Simplify right side
    73.09x = 11,709.61
  5. Step 5: Solve for x
    x = 11,709.61/73.09
  6. Step 6: Final answer
    x = 160.21

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.