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Finding the Third Proportional to 62.63 and 94.31

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Solution

The third proportional to 62.63 and 94.31 is: 142.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    62.63 : 94.31 = 94.31 : x
  2. Step 2: Convert to fraction form
    62.63/94.31 = 94.31/x
  3. Step 3: Cross multiply
    62.63x = 94.31 × 94.31
  4. Step 4: Simplify right side
    62.63x = 8,894.85
  5. Step 5: Solve for x
    x = 8,894.85/62.63
  6. Step 6: Final answer
    x = 142.03

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.