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Finding the Third Proportional to 42.25 and 99.63

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Solution

The third proportional to 42.25 and 99.63 is: 234.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    42.25 : 99.63 = 99.63 : x
  2. Step 2: Convert to fraction form
    42.25/99.63 = 99.63/x
  3. Step 3: Cross multiply
    42.25x = 99.63 × 99.63
  4. Step 4: Simplify right side
    42.25x = 9,925.14
  5. Step 5: Solve for x
    x = 9,925.14/42.25
  6. Step 6: Final answer
    x = 234.91

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.