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Finding the Third Proportional to 73,285 and 156,938

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Solution

The third proportional to 73,285 and 156,938 is: 336,078.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,285 : 156,938 = 156,938 : x
  2. Step 2: Convert to fraction form
    73,285/156,938 = 156,938/x
  3. Step 3: Cross multiply
    73,285x = 156,938 × 156,938
  4. Step 4: Simplify right side
    73,285x = 24,629,535,844
  5. Step 5: Solve for x
    x = 24,629,535,844/73,285
  6. Step 6: Final answer
    x = 336,078.81

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.