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Finding the Third Proportional to 40,002 and 92,607

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Solution

The third proportional to 40,002 and 92,607 is: 214,390.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,002 : 92,607 = 92,607 : x
  2. Step 2: Convert to fraction form
    40,002/92,607 = 92,607/x
  3. Step 3: Cross multiply
    40,002x = 92,607 × 92,607
  4. Step 4: Simplify right side
    40,002x = 8,576,056,449
  5. Step 5: Solve for x
    x = 8,576,056,449/40,002
  6. Step 6: Final answer
    x = 214,390.69

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.