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Finding the Third Proportional to 73,500 and 159,447

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Solution

The third proportional to 73,500 and 159,447 is: 345,895.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,500 : 159,447 = 159,447 : x
  2. Step 2: Convert to fraction form
    73,500/159,447 = 159,447/x
  3. Step 3: Cross multiply
    73,500x = 159,447 × 159,447
  4. Step 4: Simplify right side
    73,500x = 25,423,345,809
  5. Step 5: Solve for x
    x = 25,423,345,809/73,500
  6. Step 6: Final answer
    x = 345,895.86

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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.