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Finding the Third Proportional to 74.52 and 161.45

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Solution

The third proportional to 74.52 and 161.45 is: 349.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    74.52 : 161.45 = 161.45 : x
  2. Step 2: Convert to fraction form
    74.52/161.45 = 161.45/x
  3. Step 3: Cross multiply
    74.52x = 161.45 × 161.45
  4. Step 4: Simplify right side
    74.52x = 26,064.59
  5. Step 5: Solve for x
    x = 26,064.59/74.52
  6. Step 6: Final answer
    x = 349.77

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.