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Finding the Third Proportional to 71,049.19 and 151,944.94

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Solution

The third proportional to 71,049.19 and 151,944.94 is: 324,947.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,049.19 : 151,944.94 = 151,944.94 : x
  2. Step 2: Convert to fraction form
    71,049.19/151,944.94 = 151,944.94/x
  3. Step 3: Cross multiply
    71,049.19x = 151,944.94 × 151,944.94
  4. Step 4: Simplify right side
    71,049.19x = 23,087,264,031.88
  5. Step 5: Solve for x
    x = 23,087,264,031.88/71,049.19
  6. Step 6: Final answer
    x = 324,947.62

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.