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Finding the Third Proportional to 101.25 and 152.09

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Solution

The third proportional to 101.25 and 152.09 is: 228.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    101.25 : 152.09 = 152.09 : x
  2. Step 2: Convert to fraction form
    101.25/152.09 = 152.09/x
  3. Step 3: Cross multiply
    101.25x = 152.09 × 152.09
  4. Step 4: Simplify right side
    101.25x = 23,130.13
  5. Step 5: Solve for x
    x = 23,130.13/101.25
  6. Step 6: Final answer
    x = 228.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.