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Finding the Third Proportional to 72,687 and 156,462

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Solution

The third proportional to 72,687 and 156,462 is: 336,791.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,687 : 156,462 = 156,462 : x
  2. Step 2: Convert to fraction form
    72,687/156,462 = 156,462/x
  3. Step 3: Cross multiply
    72,687x = 156,462 × 156,462
  4. Step 4: Simplify right side
    72,687x = 24,480,357,444
  5. Step 5: Solve for x
    x = 24,480,357,444/72,687
  6. Step 6: Final answer
    x = 336,791.41

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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.