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Finding the Third Proportional to 125.97 and 278.94

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Solution

The third proportional to 125.97 and 278.94 is: 617.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    125.97 : 278.94 = 278.94 : x
  2. Step 2: Convert to fraction form
    125.97/278.94 = 278.94/x
  3. Step 3: Cross multiply
    125.97x = 278.94 × 278.94
  4. Step 4: Simplify right side
    125.97x = 77,806.13
  5. Step 5: Solve for x
    x = 77,806.13/125.97
  6. Step 6: Final answer
    x = 617.66

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.