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Finding the Third Proportional to 56.03 and 120.81

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Solution

The third proportional to 56.03 and 120.81 is: 260.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    56.03 : 120.81 = 120.81 : x
  2. Step 2: Convert to fraction form
    56.03/120.81 = 120.81/x
  3. Step 3: Cross multiply
    56.03x = 120.81 × 120.81
  4. Step 4: Simplify right side
    56.03x = 14,595.66
  5. Step 5: Solve for x
    x = 14,595.66/56.03
  6. Step 6: Final answer
    x = 260.49

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.