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Finding the Third Proportional to 64.75 and 140.56

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Solution

The third proportional to 64.75 and 140.56 is: 305.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    64.75 : 140.56 = 140.56 : x
  2. Step 2: Convert to fraction form
    64.75/140.56 = 140.56/x
  3. Step 3: Cross multiply
    64.75x = 140.56 × 140.56
  4. Step 4: Simplify right side
    64.75x = 19,757.82
  5. Step 5: Solve for x
    x = 19,757.82/64.75
  6. Step 6: Final answer
    x = 305.14

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.