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Finding the Third Proportional to 107,625.56 and 234,921.56

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Solution

The third proportional to 107,625.56 and 234,921.56 is: 512,779.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,625.56 : 234,921.56 = 234,921.56 : x
  2. Step 2: Convert to fraction form
    107,625.56/234,921.56 = 234,921.56/x
  3. Step 3: Cross multiply
    107,625.56x = 234,921.56 × 234,921.56
  4. Step 4: Simplify right side
    107,625.56x = 55,188,140,527.44
  5. Step 5: Solve for x
    x = 55,188,140,527.44/107,625.56
  6. Step 6: Final answer
    x = 512,779.11

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.