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Finding the Third Proportional to 99.67 and 142.38

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Solution

The third proportional to 99.67 and 142.38 is: 203.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    99.67 : 142.38 = 142.38 : x
  2. Step 2: Convert to fraction form
    99.67/142.38 = 142.38/x
  3. Step 3: Cross multiply
    99.67x = 142.38 × 142.38
  4. Step 4: Simplify right side
    99.67x = 20,272.87
  5. Step 5: Solve for x
    x = 20,272.87/99.67
  6. Step 6: Final answer
    x = 203.40

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.