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Finding the Third Proportional to 73,469 and 159,403

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Solution

The third proportional to 73,469 and 159,403 is: 345,850.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,469 : 159,403 = 159,403 : x
  2. Step 2: Convert to fraction form
    73,469/159,403 = 159,403/x
  3. Step 3: Cross multiply
    73,469x = 159,403 × 159,403
  4. Step 4: Simplify right side
    73,469x = 25,409,316,409
  5. Step 5: Solve for x
    x = 25,409,316,409/73,469
  6. Step 6: Final answer
    x = 345,850.85

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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.