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Finding the Third Proportional to 42 and 99.13

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Solution

The third proportional to 42 and 99.13 is: 233.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    42 : 99.13 = 99.13 : x
  2. Step 2: Convert to fraction form
    42/99.13 = 99.13/x
  3. Step 3: Cross multiply
    42x = 99.13 × 99.13
  4. Step 4: Simplify right side
    42x = 9,825.77
  5. Step 5: Solve for x
    x = 9,825.77/42
  6. Step 6: Final answer
    x = 233.95

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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.