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Finding the Third Proportional to 79.73 and 126.01

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Solution

The third proportional to 79.73 and 126.01 is: 199.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    79.73 : 126.01 = 126.01 : x
  2. Step 2: Convert to fraction form
    79.73/126.01 = 126.01/x
  3. Step 3: Cross multiply
    79.73x = 126.01 × 126.01
  4. Step 4: Simplify right side
    79.73x = 15,878.21
  5. Step 5: Solve for x
    x = 15,878.21/79.73
  6. Step 6: Final answer
    x = 199.14

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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.