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Finding the Third Proportional to 63.70 and 134.58

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Solution

The third proportional to 63.70 and 134.58 is: 284.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    63.70 : 134.58 = 134.58 : x
  2. Step 2: Convert to fraction form
    63.70/134.58 = 134.58/x
  3. Step 3: Cross multiply
    63.70x = 134.58 × 134.58
  4. Step 4: Simplify right side
    63.70x = 18,111.27
  5. Step 5: Solve for x
    x = 18,111.27/63.70
  6. Step 6: Final answer
    x = 284.31

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.