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Finding the Third Proportional to 105,261 and 167,325

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Solution

The third proportional to 105,261 and 167,325 is: 265,983.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,261 : 167,325 = 167,325 : x
  2. Step 2: Convert to fraction form
    105,261/167,325 = 167,325/x
  3. Step 3: Cross multiply
    105,261x = 167,325 × 167,325
  4. Step 4: Simplify right side
    105,261x = 27,997,655,625
  5. Step 5: Solve for x
    x = 27,997,655,625/105,261
  6. Step 6: Final answer
    x = 265,983.18

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.