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Finding the Third Proportional to 74,002 and 115,963

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Solution

The third proportional to 74,002 and 115,963 is: 181,716.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,002 : 115,963 = 115,963 : x
  2. Step 2: Convert to fraction form
    74,002/115,963 = 115,963/x
  3. Step 3: Cross multiply
    74,002x = 115,963 × 115,963
  4. Step 4: Simplify right side
    74,002x = 13,447,417,369
  5. Step 5: Solve for x
    x = 13,447,417,369/74,002
  6. Step 6: Final answer
    x = 181,716.95

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.