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Finding the Third Proportional to 49,992 and 75,502

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Solution

The third proportional to 49,992 and 75,502 is: 114,029.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,992 : 75,502 = 75,502 : x
  2. Step 2: Convert to fraction form
    49,992/75,502 = 75,502/x
  3. Step 3: Cross multiply
    49,992x = 75,502 × 75,502
  4. Step 4: Simplify right side
    49,992x = 5,700,552,004
  5. Step 5: Solve for x
    x = 5,700,552,004/49,992
  6. Step 6: Final answer
    x = 114,029.28

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.