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Finding the Third Proportional to 73,469 and 160,627

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Solution

The third proportional to 73,469 and 160,627 is: 351,182.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,469 : 160,627 = 160,627 : x
  2. Step 2: Convert to fraction form
    73,469/160,627 = 160,627/x
  3. Step 3: Cross multiply
    73,469x = 160,627 × 160,627
  4. Step 4: Simplify right side
    73,469x = 25,801,033,129
  5. Step 5: Solve for x
    x = 25,801,033,129/73,469
  6. Step 6: Final answer
    x = 351,182.58

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.