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Finding the Third Proportional to 114.75 and 122.06

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Solution

The third proportional to 114.75 and 122.06 is: 129.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.75 : 122.06 = 122.06 : x
  2. Step 2: Convert to fraction form
    114.75/122.06 = 122.06/x
  3. Step 3: Cross multiply
    114.75x = 122.06 × 122.06
  4. Step 4: Simplify right side
    114.75x = 14,899.25
  5. Step 5: Solve for x
    x = 14,899.25/114.75
  6. Step 6: Final answer
    x = 129.84

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Why These Related Problems?

These problems maintain the same ratio (1.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.