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Finding the Third Proportional to 123.71 and 174.02

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Solution

The third proportional to 123.71 and 174.02 is: 244.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    123.71 : 174.02 = 174.02 : x
  2. Step 2: Convert to fraction form
    123.71/174.02 = 174.02/x
  3. Step 3: Cross multiply
    123.71x = 174.02 × 174.02
  4. Step 4: Simplify right side
    123.71x = 30,284.16
  5. Step 5: Solve for x
    x = 30,284.16/123.71
  6. Step 6: Final answer
    x = 244.79

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.