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Finding the Third Proportional to 72,200 and 107,701

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Solution

The third proportional to 72,200 and 107,701 is: 160,657.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,200 : 107,701 = 107,701 : x
  2. Step 2: Convert to fraction form
    72,200/107,701 = 107,701/x
  3. Step 3: Cross multiply
    72,200x = 107,701 × 107,701
  4. Step 4: Simplify right side
    72,200x = 11,599,505,401
  5. Step 5: Solve for x
    x = 11,599,505,401/72,200
  6. Step 6: Final answer
    x = 160,657.97

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.