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Finding the Third Proportional to 107,907 and 252,036

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Solution

The third proportional to 107,907 and 252,036 is: 588,674.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,907 : 252,036 = 252,036 : x
  2. Step 2: Convert to fraction form
    107,907/252,036 = 252,036/x
  3. Step 3: Cross multiply
    107,907x = 252,036 × 252,036
  4. Step 4: Simplify right side
    107,907x = 63,522,145,296
  5. Step 5: Solve for x
    x = 63,522,145,296/107,907
  6. Step 6: Final answer
    x = 588,674.93

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.