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Finding the Third Proportional to 56.95 and 134.16

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Solution

The third proportional to 56.95 and 134.16 is: 316.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    56.95 : 134.16 = 134.16 : x
  2. Step 2: Convert to fraction form
    56.95/134.16 = 134.16/x
  3. Step 3: Cross multiply
    56.95x = 134.16 × 134.16
  4. Step 4: Simplify right side
    56.95x = 17,997.90
  5. Step 5: Solve for x
    x = 17,997.90/56.95
  6. Step 6: Final answer
    x = 316.01

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.