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Finding the Third Proportional to 64.22 and 101.02

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Solution

The third proportional to 64.22 and 101.02 is: 158.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    64.22 : 101.02 = 101.02 : x
  2. Step 2: Convert to fraction form
    64.22/101.02 = 101.02/x
  3. Step 3: Cross multiply
    64.22x = 101.02 × 101.02
  4. Step 4: Simplify right side
    64.22x = 10,204.16
  5. Step 5: Solve for x
    x = 10,204.16/64.22
  6. Step 6: Final answer
    x = 158.90

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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.