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Finding the Third Proportional to 71,504 and 107,118

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Solution

The third proportional to 71,504 and 107,118 is: 160,470.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,504 : 107,118 = 107,118 : x
  2. Step 2: Convert to fraction form
    71,504/107,118 = 107,118/x
  3. Step 3: Cross multiply
    71,504x = 107,118 × 107,118
  4. Step 4: Simplify right side
    71,504x = 11,474,265,924
  5. Step 5: Solve for x
    x = 11,474,265,924/71,504
  6. Step 6: Final answer
    x = 160,470.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.