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Finding the Third Proportional to 73,029 and 156,963

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Solution

The third proportional to 73,029 and 156,963 is: 337,364.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,029 : 156,963 = 156,963 : x
  2. Step 2: Convert to fraction form
    73,029/156,963 = 156,963/x
  3. Step 3: Cross multiply
    73,029x = 156,963 × 156,963
  4. Step 4: Simplify right side
    73,029x = 24,637,383,369
  5. Step 5: Solve for x
    x = 24,637,383,369/73,029
  6. Step 6: Final answer
    x = 337,364.38

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.