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Finding the Third Proportional to 125.94 and 293.97

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Solution

The third proportional to 125.94 and 293.97 is: 686.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    125.94 : 293.97 = 293.97 : x
  2. Step 2: Convert to fraction form
    125.94/293.97 = 293.97/x
  3. Step 3: Cross multiply
    125.94x = 293.97 × 293.97
  4. Step 4: Simplify right side
    125.94x = 86,417.63
  5. Step 5: Solve for x
    x = 86,417.63/125.94
  6. Step 6: Final answer
    x = 686.19

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.