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Finding the Third Proportional to 57.23 and 100.55

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Solution

The third proportional to 57.23 and 100.55 is: 176.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    57.23 : 100.55 = 100.55 : x
  2. Step 2: Convert to fraction form
    57.23/100.55 = 100.55/x
  3. Step 3: Cross multiply
    57.23x = 100.55 × 100.55
  4. Step 4: Simplify right side
    57.23x = 10,109.67
  5. Step 5: Solve for x
    x = 10,109.67/57.23
  6. Step 6: Final answer
    x = 176.64

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Why These Related Problems?

These problems maintain the same ratio (1.76) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.