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Finding the Third Proportional to 56,709.56 and 123,795.56

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Solution

The third proportional to 56,709.56 and 123,795.56 is: 270,242.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,709.56 : 123,795.56 = 123,795.56 : x
  2. Step 2: Convert to fraction form
    56,709.56/123,795.56 = 123,795.56/x
  3. Step 3: Cross multiply
    56,709.56x = 123,795.56 × 123,795.56
  4. Step 4: Simplify right side
    56,709.56x = 15,325,341,294.69
  5. Step 5: Solve for x
    x = 15,325,341,294.69/56,709.56
  6. Step 6: Final answer
    x = 270,242.63

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