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Finding the Third Proportional to 97.77 and 148.08

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Solution

The third proportional to 97.77 and 148.08 is: 224.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.77 : 148.08 = 148.08 : x
  2. Step 2: Convert to fraction form
    97.77/148.08 = 148.08/x
  3. Step 3: Cross multiply
    97.77x = 148.08 × 148.08
  4. Step 4: Simplify right side
    97.77x = 21,927.13
  5. Step 5: Solve for x
    x = 21,927.13/97.77
  6. Step 6: Final answer
    x = 224.27

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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.