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Finding the Third Proportional to 64.87 and 100.91

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Solution

The third proportional to 64.87 and 100.91 is: 156.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    64.87 : 100.91 = 100.91 : x
  2. Step 2: Convert to fraction form
    64.87/100.91 = 100.91/x
  3. Step 3: Cross multiply
    64.87x = 100.91 × 100.91
  4. Step 4: Simplify right side
    64.87x = 10,183.60
  5. Step 5: Solve for x
    x = 10,183.60/64.87
  6. Step 6: Final answer
    x = 156.98

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.