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Finding the Third Proportional to 74.46 and 114.05

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Solution

The third proportional to 74.46 and 114.05 is: 174.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    74.46 : 114.05 = 114.05 : x
  2. Step 2: Convert to fraction form
    74.46/114.05 = 114.05/x
  3. Step 3: Cross multiply
    74.46x = 114.05 × 114.05
  4. Step 4: Simplify right side
    74.46x = 13,006.69
  5. Step 5: Solve for x
    x = 13,006.69/74.46
  6. Step 6: Final answer
    x = 174.68

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.