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Finding the Third Proportional to 32,048 and 68,720

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Solution

The third proportional to 32,048 and 68,720 is: 147,355.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,048 : 68,720 = 68,720 : x
  2. Step 2: Convert to fraction form
    32,048/68,720 = 68,720/x
  3. Step 3: Cross multiply
    32,048x = 68,720 × 68,720
  4. Step 4: Simplify right side
    32,048x = 4,722,438,400
  5. Step 5: Solve for x
    x = 4,722,438,400/32,048
  6. Step 6: Final answer
    x = 147,355.17

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.