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Finding the Third Proportional to 57.19 and 101.06

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Solution

The third proportional to 57.19 and 101.06 is: 178.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    57.19 : 101.06 = 101.06 : x
  2. Step 2: Convert to fraction form
    57.19/101.06 = 101.06/x
  3. Step 3: Cross multiply
    57.19x = 101.06 × 101.06
  4. Step 4: Simplify right side
    57.19x = 10,213.63
  5. Step 5: Solve for x
    x = 10,213.63/57.19
  6. Step 6: Final answer
    x = 178.60

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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.