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Finding the Third Proportional to 50,246 and 109,909

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Solution

The third proportional to 50,246 and 109,909 is: 240,416.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,246 : 109,909 = 109,909 : x
  2. Step 2: Convert to fraction form
    50,246/109,909 = 109,909/x
  3. Step 3: Cross multiply
    50,246x = 109,909 × 109,909
  4. Step 4: Simplify right side
    50,246x = 12,079,988,281
  5. Step 5: Solve for x
    x = 12,079,988,281/50,246
  6. Step 6: Final answer
    x = 240,416.91

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.