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Finding the Third Proportional to 101.47 and 160.94

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Solution

The third proportional to 101.47 and 160.94 is: 255.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    101.47 : 160.94 = 160.94 : x
  2. Step 2: Convert to fraction form
    101.47/160.94 = 160.94/x
  3. Step 3: Cross multiply
    101.47x = 160.94 × 160.94
  4. Step 4: Simplify right side
    101.47x = 25,900.88
  5. Step 5: Solve for x
    x = 25,900.88/101.47
  6. Step 6: Final answer
    x = 255.26

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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.