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Finding the Third Proportional to 50,688 and 107,934

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Solution

The third proportional to 50,688 and 107,934 is: 229,832.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,688 : 107,934 = 107,934 : x
  2. Step 2: Convert to fraction form
    50,688/107,934 = 107,934/x
  3. Step 3: Cross multiply
    50,688x = 107,934 × 107,934
  4. Step 4: Simplify right side
    50,688x = 11,649,748,356
  5. Step 5: Solve for x
    x = 11,649,748,356/50,688
  6. Step 6: Final answer
    x = 229,832.47

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.