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Finding the Third Proportional to 65.06 and 141.94

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Solution

The third proportional to 65.06 and 141.94 is: 309.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    65.06 : 141.94 = 141.94 : x
  2. Step 2: Convert to fraction form
    65.06/141.94 = 141.94/x
  3. Step 3: Cross multiply
    65.06x = 141.94 × 141.94
  4. Step 4: Simplify right side
    65.06x = 20,146.25
  5. Step 5: Solve for x
    x = 20,146.25/65.06
  6. Step 6: Final answer
    x = 309.64

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.