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Finding the Third Proportional to 50,184 and 104,499

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Solution

The third proportional to 50,184 and 104,499 is: 217,600.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,184 : 104,499 = 104,499 : x
  2. Step 2: Convert to fraction form
    50,184/104,499 = 104,499/x
  3. Step 3: Cross multiply
    50,184x = 104,499 × 104,499
  4. Step 4: Simplify right side
    50,184x = 10,920,041,001
  5. Step 5: Solve for x
    x = 10,920,041,001/50,184
  6. Step 6: Final answer
    x = 217,600.05

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.