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Finding the Third Proportional to 73.69 and 116.72

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Solution

The third proportional to 73.69 and 116.72 is: 184.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    73.69 : 116.72 = 116.72 : x
  2. Step 2: Convert to fraction form
    73.69/116.72 = 116.72/x
  3. Step 3: Cross multiply
    73.69x = 116.72 × 116.72
  4. Step 4: Simplify right side
    73.69x = 13,623.27
  5. Step 5: Solve for x
    x = 13,623.27/73.69
  6. Step 6: Final answer
    x = 184.88

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.