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Finding the Third Proportional to 125.56 and 160.94

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Solution

The third proportional to 125.56 and 160.94 is: 206.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    125.56 : 160.94 = 160.94 : x
  2. Step 2: Convert to fraction form
    125.56/160.94 = 160.94/x
  3. Step 3: Cross multiply
    125.56x = 160.94 × 160.94
  4. Step 4: Simplify right side
    125.56x = 25,900.88
  5. Step 5: Solve for x
    x = 25,900.88/125.56
  6. Step 6: Final answer
    x = 206.28

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.