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Finding the Third Proportional to 65,941 and 145,327

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Solution

The third proportional to 65,941 and 145,327 is: 320,285.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,941 : 145,327 = 145,327 : x
  2. Step 2: Convert to fraction form
    65,941/145,327 = 145,327/x
  3. Step 3: Cross multiply
    65,941x = 145,327 × 145,327
  4. Step 4: Simplify right side
    65,941x = 21,119,936,929
  5. Step 5: Solve for x
    x = 21,119,936,929/65,941
  6. Step 6: Final answer
    x = 320,285.36

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.