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Finding the Third Proportional to 50,786 and 107,716

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Solution

The third proportional to 50,786 and 107,716 is: 228,463.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,786 : 107,716 = 107,716 : x
  2. Step 2: Convert to fraction form
    50,786/107,716 = 107,716/x
  3. Step 3: Cross multiply
    50,786x = 107,716 × 107,716
  4. Step 4: Simplify right side
    50,786x = 11,602,736,656
  5. Step 5: Solve for x
    x = 11,602,736,656/50,786
  6. Step 6: Final answer
    x = 228,463.29

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.