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Finding the Third Proportional to 50,089.50 and 108,738

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Solution

The third proportional to 50,089.50 and 108,738 is: 236,056.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,089.50 : 108,738 = 108,738 : x
  2. Step 2: Convert to fraction form
    50,089.50/108,738 = 108,738/x
  3. Step 3: Cross multiply
    50,089.50x = 108,738 × 108,738
  4. Step 4: Simplify right side
    50,089.50x = 11,823,952,644
  5. Step 5: Solve for x
    x = 11,823,952,644/50,089.50
  6. Step 6: Final answer
    x = 236,056.51

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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.