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Finding the Third Proportional to 70.44 and 116.38

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Solution

The third proportional to 70.44 and 116.38 is: 192.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    70.44 : 116.38 = 116.38 : x
  2. Step 2: Convert to fraction form
    70.44/116.38 = 116.38/x
  3. Step 3: Cross multiply
    70.44x = 116.38 × 116.38
  4. Step 4: Simplify right side
    70.44x = 13,543.14
  5. Step 5: Solve for x
    x = 13,543.14/70.44
  6. Step 6: Final answer
    x = 192.27

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.