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Finding the Third Proportional to 124.97 and 271.92

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Solution

The third proportional to 124.97 and 271.92 is: 591.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    124.97 : 271.92 = 271.92 : x
  2. Step 2: Convert to fraction form
    124.97/271.92 = 271.92/x
  3. Step 3: Cross multiply
    124.97x = 271.92 × 271.92
  4. Step 4: Simplify right side
    124.97x = 73,941.51
  5. Step 5: Solve for x
    x = 73,941.51/124.97
  6. Step 6: Final answer
    x = 591.68

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.