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Finding the Third Proportional to 50,386 and 108,500

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Solution

The third proportional to 50,386 and 108,500 is: 233,641.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,386 : 108,500 = 108,500 : x
  2. Step 2: Convert to fraction form
    50,386/108,500 = 108,500/x
  3. Step 3: Cross multiply
    50,386x = 108,500 × 108,500
  4. Step 4: Simplify right side
    50,386x = 11,772,250,000
  5. Step 5: Solve for x
    x = 11,772,250,000/50,386
  6. Step 6: Final answer
    x = 233,641.29

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.