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Finding the Third Proportional to 51,170 and 107,641

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Solution

The third proportional to 51,170 and 107,641 is: 226,433.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,170 : 107,641 = 107,641 : x
  2. Step 2: Convert to fraction form
    51,170/107,641 = 107,641/x
  3. Step 3: Cross multiply
    51,170x = 107,641 × 107,641
  4. Step 4: Simplify right side
    51,170x = 11,586,584,881
  5. Step 5: Solve for x
    x = 11,586,584,881/51,170
  6. Step 6: Final answer
    x = 226,433.16

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.