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Finding the Third Proportional to 67,965 and 159,909

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Solution

The third proportional to 67,965 and 159,909 is: 376,236.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,965 : 159,909 = 159,909 : x
  2. Step 2: Convert to fraction form
    67,965/159,909 = 159,909/x
  3. Step 3: Cross multiply
    67,965x = 159,909 × 159,909
  4. Step 4: Simplify right side
    67,965x = 25,570,888,281
  5. Step 5: Solve for x
    x = 25,570,888,281/67,965
  6. Step 6: Final answer
    x = 376,236.13

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.