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Finding the Third Proportional to 50,906 and 108,574

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Solution

The third proportional to 50,906 and 108,574 is: 231,570.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,906 : 108,574 = 108,574 : x
  2. Step 2: Convert to fraction form
    50,906/108,574 = 108,574/x
  3. Step 3: Cross multiply
    50,906x = 108,574 × 108,574
  4. Step 4: Simplify right side
    50,906x = 11,788,313,476
  5. Step 5: Solve for x
    x = 11,788,313,476/50,906
  6. Step 6: Final answer
    x = 231,570.22

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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.