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Finding the Third Proportional to 73,521 and 159,485

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Solution

The third proportional to 73,521 and 159,485 is: 345,961.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,521 : 159,485 = 159,485 : x
  2. Step 2: Convert to fraction form
    73,521/159,485 = 159,485/x
  3. Step 3: Cross multiply
    73,521x = 159,485 × 159,485
  4. Step 4: Simplify right side
    73,521x = 25,435,465,225
  5. Step 5: Solve for x
    x = 25,435,465,225/73,521
  6. Step 6: Final answer
    x = 345,961.91

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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.