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Finding the Third Proportional to 64.55 and 95.24

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Solution

The third proportional to 64.55 and 95.24 is: 140.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    64.55 : 95.24 = 95.24 : x
  2. Step 2: Convert to fraction form
    64.55/95.24 = 95.24/x
  3. Step 3: Cross multiply
    64.55x = 95.24 × 95.24
  4. Step 4: Simplify right side
    64.55x = 9,070.33
  5. Step 5: Solve for x
    x = 9,070.33/64.55
  6. Step 6: Final answer
    x = 140.52

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.