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Finding the Third Proportional to 101.74 and 151.07

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Solution

The third proportional to 101.74 and 151.07 is: 224.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    101.74 : 151.07 = 151.07 : x
  2. Step 2: Convert to fraction form
    101.74/151.07 = 151.07/x
  3. Step 3: Cross multiply
    101.74x = 151.07 × 151.07
  4. Step 4: Simplify right side
    101.74x = 22,821.06
  5. Step 5: Solve for x
    x = 22,821.06/101.74
  6. Step 6: Final answer
    x = 224.30

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.