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Finding the Third Proportional to 113,460.75 and 150,507.56

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Solution

The third proportional to 113,460.75 and 150,507.56 is: 199,650.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,460.75 : 150,507.56 = 150,507.56 : x
  2. Step 2: Convert to fraction form
    113,460.75/150,507.56 = 150,507.56/x
  3. Step 3: Cross multiply
    113,460.75x = 150,507.56 × 150,507.56
  4. Step 4: Simplify right side
    113,460.75x = 22,652,526,369.69
  5. Step 5: Solve for x
    x = 22,652,526,369.69/113,460.75
  6. Step 6: Final answer
    x = 199,650.77

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.