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Finding the Third Proportional to 65.56 and 141.06

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Solution

The third proportional to 65.56 and 141.06 is: 303.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    65.56 : 141.06 = 141.06 : x
  2. Step 2: Convert to fraction form
    65.56/141.06 = 141.06/x
  3. Step 3: Cross multiply
    65.56x = 141.06 × 141.06
  4. Step 4: Simplify right side
    65.56x = 19,898.63
  5. Step 5: Solve for x
    x = 19,898.63/65.56
  6. Step 6: Final answer
    x = 303.51

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.