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Finding the Third Proportional to 50,006 and 108,319

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Solution

The third proportional to 50,006 and 108,319 is: 234,631.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,006 : 108,319 = 108,319 : x
  2. Step 2: Convert to fraction form
    50,006/108,319 = 108,319/x
  3. Step 3: Cross multiply
    50,006x = 108,319 × 108,319
  4. Step 4: Simplify right side
    50,006x = 11,733,005,761
  5. Step 5: Solve for x
    x = 11,733,005,761/50,006
  6. Step 6: Final answer
    x = 234,631.96

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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.