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Finding the Third Proportional to 101.04 and 160.77

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Solution

The third proportional to 101.04 and 160.77 is: 255.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    101.04 : 160.77 = 160.77 : x
  2. Step 2: Convert to fraction form
    101.04/160.77 = 160.77/x
  3. Step 3: Cross multiply
    101.04x = 160.77 × 160.77
  4. Step 4: Simplify right side
    101.04x = 25,846.84
  5. Step 5: Solve for x
    x = 25,846.84/101.04
  6. Step 6: Final answer
    x = 255.81

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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.