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Finding the Third Proportional to 50,049 and 108,832.50

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Solution

The third proportional to 50,049 and 108,832.50 is: 236,658.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,049 : 108,832.50 = 108,832.50 : x
  2. Step 2: Convert to fraction form
    50,049/108,832.50 = 108,832.50/x
  3. Step 3: Cross multiply
    50,049x = 108,832.50 × 108,832.50
  4. Step 4: Simplify right side
    50,049x = 11,844,513,056.25
  5. Step 5: Solve for x
    x = 11,844,513,056.25/50,049
  6. Step 6: Final answer
    x = 236,658.34

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.