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Finding the Third Proportional to 56.18 and 84.34

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Solution

The third proportional to 56.18 and 84.34 is: 126.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    56.18 : 84.34 = 84.34 : x
  2. Step 2: Convert to fraction form
    56.18/84.34 = 84.34/x
  3. Step 3: Cross multiply
    56.18x = 84.34 × 84.34
  4. Step 4: Simplify right side
    56.18x = 7,113.21
  5. Step 5: Solve for x
    x = 7,113.21/56.18
  6. Step 6: Final answer
    x = 126.62

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.