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Finding the Third Proportional to 71,509 and 107,125

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Solution

The third proportional to 71,509 and 107,125 is: 160,480.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,509 : 107,125 = 107,125 : x
  2. Step 2: Convert to fraction form
    71,509/107,125 = 107,125/x
  3. Step 3: Cross multiply
    71,509x = 107,125 × 107,125
  4. Step 4: Simplify right side
    71,509x = 11,475,765,625
  5. Step 5: Solve for x
    x = 11,475,765,625/71,509
  6. Step 6: Final answer
    x = 160,480.02

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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.