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Finding the Third Proportional to 64.97 and 143.02

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Solution

The third proportional to 64.97 and 143.02 is: 314.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    64.97 : 143.02 = 143.02 : x
  2. Step 2: Convert to fraction form
    64.97/143.02 = 143.02/x
  3. Step 3: Cross multiply
    64.97x = 143.02 × 143.02
  4. Step 4: Simplify right side
    64.97x = 20,453.47
  5. Step 5: Solve for x
    x = 20,453.47/64.97
  6. Step 6: Final answer
    x = 314.82

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.