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Finding the Third Proportional to 101,414.25 and 146,889

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Solution

The third proportional to 101,414.25 and 146,889 is: 212,754.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,414.25 : 146,889 = 146,889 : x
  2. Step 2: Convert to fraction form
    101,414.25/146,889 = 146,889/x
  3. Step 3: Cross multiply
    101,414.25x = 146,889 × 146,889
  4. Step 4: Simplify right side
    101,414.25x = 21,576,378,321
  5. Step 5: Solve for x
    x = 21,576,378,321/101,414.25
  6. Step 6: Final answer
    x = 212,754.90

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.