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Finding the Third Proportional to 101.46 and 161.26

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Solution

The third proportional to 101.46 and 161.26 is: 256.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    101.46 : 161.26 = 161.26 : x
  2. Step 2: Convert to fraction form
    101.46/161.26 = 161.26/x
  3. Step 3: Cross multiply
    101.46x = 161.26 × 161.26
  4. Step 4: Simplify right side
    101.46x = 26,005.34
  5. Step 5: Solve for x
    x = 26,005.34/101.46
  6. Step 6: Final answer
    x = 256.31

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.