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Finding the Third Proportional to 72.56 and 111.09

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Solution

The third proportional to 72.56 and 111.09 is: 170.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    72.56 : 111.09 = 111.09 : x
  2. Step 2: Convert to fraction form
    72.56/111.09 = 111.09/x
  3. Step 3: Cross multiply
    72.56x = 111.09 × 111.09
  4. Step 4: Simplify right side
    72.56x = 12,341.82
  5. Step 5: Solve for x
    x = 12,341.82/72.56
  6. Step 6: Final answer
    x = 170.09

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.