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Finding the Third Proportional to 98.51 and 148.97

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Solution

The third proportional to 98.51 and 148.97 is: 225.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    98.51 : 148.97 = 148.97 : x
  2. Step 2: Convert to fraction form
    98.51/148.97 = 148.97/x
  3. Step 3: Cross multiply
    98.51x = 148.97 × 148.97
  4. Step 4: Simplify right side
    98.51x = 22,191.47
  5. Step 5: Solve for x
    x = 22,191.47/98.51
  6. Step 6: Final answer
    x = 225.27

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.