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Finding the Third Proportional to 106.75 and 117.50

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Solution

The third proportional to 106.75 and 117.50 is: 129.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.75 : 117.50 = 117.50 : x
  2. Step 2: Convert to fraction form
    106.75/117.50 = 117.50/x
  3. Step 3: Cross multiply
    106.75x = 117.50 × 117.50
  4. Step 4: Simplify right side
    106.75x = 13,806.25
  5. Step 5: Solve for x
    x = 13,806.25/106.75
  6. Step 6: Final answer
    x = 129.33

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Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.