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Finding the Third Proportional to 124.41 and 194.02

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Solution

The third proportional to 124.41 and 194.02 is: 302.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    124.41 : 194.02 = 194.02 : x
  2. Step 2: Convert to fraction form
    124.41/194.02 = 194.02/x
  3. Step 3: Cross multiply
    124.41x = 194.02 × 194.02
  4. Step 4: Simplify right side
    124.41x = 37,642.06
  5. Step 5: Solve for x
    x = 37,642.06/124.41
  6. Step 6: Final answer
    x = 302.57

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.