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Finding the Third Proportional to 64.97 and 141.43

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Solution

The third proportional to 64.97 and 141.43 is: 307.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    64.97 : 141.43 = 141.43 : x
  2. Step 2: Convert to fraction form
    64.97/141.43 = 141.43/x
  3. Step 3: Cross multiply
    64.97x = 141.43 × 141.43
  4. Step 4: Simplify right side
    64.97x = 20,003.46
  5. Step 5: Solve for x
    x = 20,003.46/64.97
  6. Step 6: Final answer
    x = 307.89

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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.