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Finding the Third Proportional to 72,469 and 156,995

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Solution

The third proportional to 72,469 and 156,995 is: 340,109.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,469 : 156,995 = 156,995 : x
  2. Step 2: Convert to fraction form
    72,469/156,995 = 156,995/x
  3. Step 3: Cross multiply
    72,469x = 156,995 × 156,995
  4. Step 4: Simplify right side
    72,469x = 24,647,430,025
  5. Step 5: Solve for x
    x = 24,647,430,025/72,469
  6. Step 6: Final answer
    x = 340,109.98

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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.