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Finding the Third Proportional to 64,167 and 149,921.25

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Solution

The third proportional to 64,167 and 149,921.25 is: 350,279.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,167 : 149,921.25 = 149,921.25 : x
  2. Step 2: Convert to fraction form
    64,167/149,921.25 = 149,921.25/x
  3. Step 3: Cross multiply
    64,167x = 149,921.25 × 149,921.25
  4. Step 4: Simplify right side
    64,167x = 22,476,381,201.56
  5. Step 5: Solve for x
    x = 22,476,381,201.56/64,167
  6. Step 6: Final answer
    x = 350,279.45

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These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.