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Finding the Third Proportional to 125.94 and 204.06

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Solution

The third proportional to 125.94 and 204.06 is: 330.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    125.94 : 204.06 = 204.06 : x
  2. Step 2: Convert to fraction form
    125.94/204.06 = 204.06/x
  3. Step 3: Cross multiply
    125.94x = 204.06 × 204.06
  4. Step 4: Simplify right side
    125.94x = 41,641.50
  5. Step 5: Solve for x
    x = 41,641.50/125.94
  6. Step 6: Final answer
    x = 330.65

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Why These Related Problems?

These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.