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Finding the Third Proportional to 62.82 and 99.95

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Solution

The third proportional to 62.82 and 99.95 is: 159.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    62.82 : 99.95 = 99.95 : x
  2. Step 2: Convert to fraction form
    62.82/99.95 = 99.95/x
  3. Step 3: Cross multiply
    62.82x = 99.95 × 99.95
  4. Step 4: Simplify right side
    62.82x = 9,989.85
  5. Step 5: Solve for x
    x = 9,989.85/62.82
  6. Step 6: Final answer
    x = 159.01

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.