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Finding the Third Proportional to 72.04 and 107.47

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Solution

The third proportional to 72.04 and 107.47 is: 160.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    72.04 : 107.47 = 107.47 : x
  2. Step 2: Convert to fraction form
    72.04/107.47 = 107.47/x
  3. Step 3: Cross multiply
    72.04x = 107.47 × 107.47
  4. Step 4: Simplify right side
    72.04x = 11,550.37
  5. Step 5: Solve for x
    x = 11,550.37/72.04
  6. Step 6: Final answer
    x = 160.34

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.