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Finding the Third Proportional to 57.63 and 101.75

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Solution

The third proportional to 57.63 and 101.75 is: 179.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    57.63 : 101.75 = 101.75 : x
  2. Step 2: Convert to fraction form
    57.63/101.75 = 101.75/x
  3. Step 3: Cross multiply
    57.63x = 101.75 × 101.75
  4. Step 4: Simplify right side
    57.63x = 10,353.06
  5. Step 5: Solve for x
    x = 10,353.06/57.63
  6. Step 6: Final answer
    x = 179.66

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Why These Related Problems?

These problems maintain the same ratio (1.77) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.