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Finding the Third Proportional to 104,895 and 161,325

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Solution

The third proportional to 104,895 and 161,325 is: 248,112.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,895 : 161,325 = 161,325 : x
  2. Step 2: Convert to fraction form
    104,895/161,325 = 161,325/x
  3. Step 3: Cross multiply
    104,895x = 161,325 × 161,325
  4. Step 4: Simplify right side
    104,895x = 26,025,755,625
  5. Step 5: Solve for x
    x = 26,025,755,625/104,895
  6. Step 6: Final answer
    x = 248,112.45

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.