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Finding the Third Proportional to 50,870 and 109,769

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Solution

The third proportional to 50,870 and 109,769 is: 236,863.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,870 : 109,769 = 109,769 : x
  2. Step 2: Convert to fraction form
    50,870/109,769 = 109,769/x
  3. Step 3: Cross multiply
    50,870x = 109,769 × 109,769
  4. Step 4: Simplify right side
    50,870x = 12,049,233,361
  5. Step 5: Solve for x
    x = 12,049,233,361/50,870
  6. Step 6: Final answer
    x = 236,863.25

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.