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Finding the Third Proportional to 105,584 and 167,181

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Solution

The third proportional to 105,584 and 167,181 is: 264,713.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,584 : 167,181 = 167,181 : x
  2. Step 2: Convert to fraction form
    105,584/167,181 = 167,181/x
  3. Step 3: Cross multiply
    105,584x = 167,181 × 167,181
  4. Step 4: Simplify right side
    105,584x = 27,949,486,761
  5. Step 5: Solve for x
    x = 27,949,486,761/105,584
  6. Step 6: Final answer
    x = 264,713.28

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.