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Finding the Third Proportional to 32,224 and 68,320

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Solution

The third proportional to 32,224 and 68,320 is: 144,849.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,224 : 68,320 = 68,320 : x
  2. Step 2: Convert to fraction form
    32,224/68,320 = 68,320/x
  3. Step 3: Cross multiply
    32,224x = 68,320 × 68,320
  4. Step 4: Simplify right side
    32,224x = 4,667,622,400
  5. Step 5: Solve for x
    x = 4,667,622,400/32,224
  6. Step 6: Final answer
    x = 144,849.26

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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.