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Finding the Third Proportional to 51,550 and 108,632

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Solution

The third proportional to 51,550 and 108,632 is: 228,921.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,550 : 108,632 = 108,632 : x
  2. Step 2: Convert to fraction form
    51,550/108,632 = 108,632/x
  3. Step 3: Cross multiply
    51,550x = 108,632 × 108,632
  4. Step 4: Simplify right side
    51,550x = 11,800,911,424
  5. Step 5: Solve for x
    x = 11,800,911,424/51,550
  6. Step 6: Final answer
    x = 228,921.66

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.