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Finding the Third Proportional to 50,403 and 75,995

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Solution

The third proportional to 50,403 and 75,995 is: 114,581.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,403 : 75,995 = 75,995 : x
  2. Step 2: Convert to fraction form
    50,403/75,995 = 75,995/x
  3. Step 3: Cross multiply
    50,403x = 75,995 × 75,995
  4. Step 4: Simplify right side
    50,403x = 5,775,240,025
  5. Step 5: Solve for x
    x = 5,775,240,025/50,403
  6. Step 6: Final answer
    x = 114,581.28

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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.