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Finding the Third Proportional to 64.41 and 101.11

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Solution

The third proportional to 64.41 and 101.11 is: 158.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    64.41 : 101.11 = 101.11 : x
  2. Step 2: Convert to fraction form
    64.41/101.11 = 101.11/x
  3. Step 3: Cross multiply
    64.41x = 101.11 × 101.11
  4. Step 4: Simplify right side
    64.41x = 10,223.11
  5. Step 5: Solve for x
    x = 10,223.11/64.41
  6. Step 6: Final answer
    x = 158.73

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Why These Related Problems?

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