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Finding the Third Proportional to 42,102 and 60,825

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Solution

The third proportional to 42,102 and 60,825 is: 87,874.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,102 : 60,825 = 60,825 : x
  2. Step 2: Convert to fraction form
    42,102/60,825 = 60,825/x
  3. Step 3: Cross multiply
    42,102x = 60,825 × 60,825
  4. Step 4: Simplify right side
    42,102x = 3,699,680,625
  5. Step 5: Solve for x
    x = 3,699,680,625/42,102
  6. Step 6: Final answer
    x = 87,874.23

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.