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Finding the Third Proportional to 50,234 and 75,998

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Solution

The third proportional to 50,234 and 75,998 is: 114,975.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,234 : 75,998 = 75,998 : x
  2. Step 2: Convert to fraction form
    50,234/75,998 = 75,998/x
  3. Step 3: Cross multiply
    50,234x = 75,998 × 75,998
  4. Step 4: Simplify right side
    50,234x = 5,775,696,004
  5. Step 5: Solve for x
    x = 5,775,696,004/50,234
  6. Step 6: Final answer
    x = 114,975.83

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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.