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Finding the Third Proportional to 50,186 and 73,499

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Solution

The third proportional to 50,186 and 73,499 is: 107,641.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,186 : 73,499 = 73,499 : x
  2. Step 2: Convert to fraction form
    50,186/73,499 = 73,499/x
  3. Step 3: Cross multiply
    50,186x = 73,499 × 73,499
  4. Step 4: Simplify right side
    50,186x = 5,402,103,001
  5. Step 5: Solve for x
    x = 5,402,103,001/50,186
  6. Step 6: Final answer
    x = 107,641.63

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.