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Finding the Third Proportional to 70.53 and 107.03

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Solution

The third proportional to 70.53 and 107.03 is: 162.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    70.53 : 107.03 = 107.03 : x
  2. Step 2: Convert to fraction form
    70.53/107.03 = 107.03/x
  3. Step 3: Cross multiply
    70.53x = 107.03 × 107.03
  4. Step 4: Simplify right side
    70.53x = 11,455.69
  5. Step 5: Solve for x
    x = 11,455.69/70.53
  6. Step 6: Final answer
    x = 162.42

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.