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Finding the Third Proportional to 50,907 and 110,526

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Solution

The third proportional to 50,907 and 110,526 is: 239,966.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,907 : 110,526 = 110,526 : x
  2. Step 2: Convert to fraction form
    50,907/110,526 = 110,526/x
  3. Step 3: Cross multiply
    50,907x = 110,526 × 110,526
  4. Step 4: Simplify right side
    50,907x = 12,215,996,676
  5. Step 5: Solve for x
    x = 12,215,996,676/50,907
  6. Step 6: Final answer
    x = 239,966.93

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.