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Finding the Third Proportional to 64.97 and 100.69

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Solution

The third proportional to 64.97 and 100.69 is: 156.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    64.97 : 100.69 = 100.69 : x
  2. Step 2: Convert to fraction form
    64.97/100.69 = 100.69/x
  3. Step 3: Cross multiply
    64.97x = 100.69 × 100.69
  4. Step 4: Simplify right side
    64.97x = 10,137.97
  5. Step 5: Solve for x
    x = 10,137.97/64.97
  6. Step 6: Final answer
    x = 156.04

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.