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Finding the Third Proportional to 64.13 and 100.41

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Solution

The third proportional to 64.13 and 100.41 is: 157.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    64.13 : 100.41 = 100.41 : x
  2. Step 2: Convert to fraction form
    64.13/100.41 = 100.41/x
  3. Step 3: Cross multiply
    64.13x = 100.41 × 100.41
  4. Step 4: Simplify right side
    64.13x = 10,081.42
  5. Step 5: Solve for x
    x = 10,081.42/64.13
  6. Step 6: Final answer
    x = 157.22

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.