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Finding the Third Proportional to 68,256 and 145,344

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Solution

The third proportional to 68,256 and 145,344 is: 309,494.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,256 : 145,344 = 145,344 : x
  2. Step 2: Convert to fraction form
    68,256/145,344 = 145,344/x
  3. Step 3: Cross multiply
    68,256x = 145,344 × 145,344
  4. Step 4: Simplify right side
    68,256x = 21,124,878,336
  5. Step 5: Solve for x
    x = 21,124,878,336/68,256
  6. Step 6: Final answer
    x = 309,494.82

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.