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Finding the Third Proportional to 45.31 and 100.56

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Solution

The third proportional to 45.31 and 100.56 is: 223.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    45.31 : 100.56 = 100.56 : x
  2. Step 2: Convert to fraction form
    45.31/100.56 = 100.56/x
  3. Step 3: Cross multiply
    45.31x = 100.56 × 100.56
  4. Step 4: Simplify right side
    45.31x = 10,112.82
  5. Step 5: Solve for x
    x = 10,112.82/45.31
  6. Step 6: Final answer
    x = 223.18

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.