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Finding the Third Proportional to 72,664 and 156,793

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Solution

The third proportional to 72,664 and 156,793 is: 338,324.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,664 : 156,793 = 156,793 : x
  2. Step 2: Convert to fraction form
    72,664/156,793 = 156,793/x
  3. Step 3: Cross multiply
    72,664x = 156,793 × 156,793
  4. Step 4: Simplify right side
    72,664x = 24,584,044,849
  5. Step 5: Solve for x
    x = 24,584,044,849/72,664
  6. Step 6: Final answer
    x = 338,324.96

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.