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Finding the Third Proportional to 56.04 and 86.55

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Solution

The third proportional to 56.04 and 86.55 is: 133.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    56.04 : 86.55 = 86.55 : x
  2. Step 2: Convert to fraction form
    56.04/86.55 = 86.55/x
  3. Step 3: Cross multiply
    56.04x = 86.55 × 86.55
  4. Step 4: Simplify right side
    56.04x = 7,491.71
  5. Step 5: Solve for x
    x = 7,491.71/56.04
  6. Step 6: Final answer
    x = 133.69

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.