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Finding the Third Proportional to 101,850.75 and 149,652.56

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Solution

The third proportional to 101,850.75 and 149,652.56 is: 219,889.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,850.75 : 149,652.56 = 149,652.56 : x
  2. Step 2: Convert to fraction form
    101,850.75/149,652.56 = 149,652.56/x
  3. Step 3: Cross multiply
    101,850.75x = 149,652.56 × 149,652.56
  4. Step 4: Simplify right side
    101,850.75x = 22,395,889,462.82
  5. Step 5: Solve for x
    x = 22,395,889,462.82/101,850.75
  6. Step 6: Final answer
    x = 219,889.29

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.