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Finding the Third Proportional to 106.25 and 147.25

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Solution

The third proportional to 106.25 and 147.25 is: 204.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.25 : 147.25 = 147.25 : x
  2. Step 2: Convert to fraction form
    106.25/147.25 = 147.25/x
  3. Step 3: Cross multiply
    106.25x = 147.25 × 147.25
  4. Step 4: Simplify right side
    106.25x = 21,682.56
  5. Step 5: Solve for x
    x = 21,682.56/106.25
  6. Step 6: Final answer
    x = 204.07

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.