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Finding the Third Proportional to 101.72 and 130.83

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Solution

The third proportional to 101.72 and 130.83 is: 168.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    101.72 : 130.83 = 130.83 : x
  2. Step 2: Convert to fraction form
    101.72/130.83 = 130.83/x
  3. Step 3: Cross multiply
    101.72x = 130.83 × 130.83
  4. Step 4: Simplify right side
    101.72x = 17,117.53
  5. Step 5: Solve for x
    x = 17,117.53/101.72
  6. Step 6: Final answer
    x = 168.27

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Why These Related Problems?

These problems maintain the same ratio (1.29) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.