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Finding the Third Proportional to 32,228 and 68,328

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Solution

The third proportional to 32,228 and 68,328 is: 144,865.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,228 : 68,328 = 68,328 : x
  2. Step 2: Convert to fraction form
    32,228/68,328 = 68,328/x
  3. Step 3: Cross multiply
    32,228x = 68,328 × 68,328
  4. Step 4: Simplify right side
    32,228x = 4,668,715,584
  5. Step 5: Solve for x
    x = 4,668,715,584/32,228
  6. Step 6: Final answer
    x = 144,865.20

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.