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Finding the Third Proportional to 32,256 and 68,427

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Solution

The third proportional to 32,256 and 68,427 is: 145,159.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,256 : 68,427 = 68,427 : x
  2. Step 2: Convert to fraction form
    32,256/68,427 = 68,427/x
  3. Step 3: Cross multiply
    32,256x = 68,427 × 68,427
  4. Step 4: Simplify right side
    32,256x = 4,682,254,329
  5. Step 5: Solve for x
    x = 4,682,254,329/32,256
  6. Step 6: Final answer
    x = 145,159.17

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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.