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Finding the Third Proportional to 64.18 and 140.62

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Solution

The third proportional to 64.18 and 140.62 is: 308.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    64.18 : 140.62 = 140.62 : x
  2. Step 2: Convert to fraction form
    64.18/140.62 = 140.62/x
  3. Step 3: Cross multiply
    64.18x = 140.62 × 140.62
  4. Step 4: Simplify right side
    64.18x = 19,772.92
  5. Step 5: Solve for x
    x = 19,772.92/64.18
  6. Step 6: Final answer
    x = 308.10

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.