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Finding the Third Proportional to 99.42 and 138.87

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Solution

The third proportional to 99.42 and 138.87 is: 193.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    99.42 : 138.87 = 138.87 : x
  2. Step 2: Convert to fraction form
    99.42/138.87 = 138.87/x
  3. Step 3: Cross multiply
    99.42x = 138.87 × 138.87
  4. Step 4: Simplify right side
    99.42x = 19,284.10
  5. Step 5: Solve for x
    x = 19,284.10/99.42
  6. Step 6: Final answer
    x = 193.96

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.