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Finding the Third Proportional to 122.06 and 140.81

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Solution

The third proportional to 122.06 and 140.81 is: 162.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.06 : 140.81 = 140.81 : x
  2. Step 2: Convert to fraction form
    122.06/140.81 = 140.81/x
  3. Step 3: Cross multiply
    122.06x = 140.81 × 140.81
  4. Step 4: Simplify right side
    122.06x = 19,828.16
  5. Step 5: Solve for x
    x = 19,828.16/122.06
  6. Step 6: Final answer
    x = 162.44

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Why These Related Problems?

These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.