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Finding the Third Proportional to 102.94 and 161.16

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Solution

The third proportional to 102.94 and 161.16 is: 252.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.94 : 161.16 = 161.16 : x
  2. Step 2: Convert to fraction form
    102.94/161.16 = 161.16/x
  3. Step 3: Cross multiply
    102.94x = 161.16 × 161.16
  4. Step 4: Simplify right side
    102.94x = 25,971.34
  5. Step 5: Solve for x
    x = 25,971.34/102.94
  6. Step 6: Final answer
    x = 252.30

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.