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Finding the Third Proportional to 73.03 and 112.41

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Solution

The third proportional to 73.03 and 112.41 is: 173.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    73.03 : 112.41 = 112.41 : x
  2. Step 2: Convert to fraction form
    73.03/112.41 = 112.41/x
  3. Step 3: Cross multiply
    73.03x = 112.41 × 112.41
  4. Step 4: Simplify right side
    73.03x = 12,635.17
  5. Step 5: Solve for x
    x = 12,635.17/73.03
  6. Step 6: Final answer
    x = 173.01

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.