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Finding the Third Proportional to 72,108 and 156,383

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Solution

The third proportional to 72,108 and 156,383 is: 339,152.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,108 : 156,383 = 156,383 : x
  2. Step 2: Convert to fraction form
    72,108/156,383 = 156,383/x
  3. Step 3: Cross multiply
    72,108x = 156,383 × 156,383
  4. Step 4: Simplify right side
    72,108x = 24,455,642,689
  5. Step 5: Solve for x
    x = 24,455,642,689/72,108
  6. Step 6: Final answer
    x = 339,152.97

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.