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Finding the Third Proportional to 68,046 and 144,327

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Solution

The third proportional to 68,046 and 144,327 is: 306,120.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,046 : 144,327 = 144,327 : x
  2. Step 2: Convert to fraction form
    68,046/144,327 = 144,327/x
  3. Step 3: Cross multiply
    68,046x = 144,327 × 144,327
  4. Step 4: Simplify right side
    68,046x = 20,830,282,929
  5. Step 5: Solve for x
    x = 20,830,282,929/68,046
  6. Step 6: Final answer
    x = 306,120.61

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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.