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Finding the Third Proportional to 73,516.75 and 159,478

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Solution

The third proportional to 73,516.75 and 159,478 is: 345,951.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,516.75 : 159,478 = 159,478 : x
  2. Step 2: Convert to fraction form
    73,516.75/159,478 = 159,478/x
  3. Step 3: Cross multiply
    73,516.75x = 159,478 × 159,478
  4. Step 4: Simplify right side
    73,516.75x = 25,433,232,484
  5. Step 5: Solve for x
    x = 25,433,232,484/73,516.75
  6. Step 6: Final answer
    x = 345,951.53

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.