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Finding the Third Proportional to 124.94 and 214.06

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Solution

The third proportional to 124.94 and 214.06 is: 366.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    124.94 : 214.06 = 214.06 : x
  2. Step 2: Convert to fraction form
    124.94/214.06 = 214.06/x
  3. Step 3: Cross multiply
    124.94x = 214.06 × 214.06
  4. Step 4: Simplify right side
    124.94x = 45,822.75
  5. Step 5: Solve for x
    x = 45,822.75/124.94
  6. Step 6: Final answer
    x = 366.77

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Why These Related Problems?

These problems maintain the same ratio (1.71) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.