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Finding the Third Proportional to 73,891 and 158,284

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Solution

The third proportional to 73,891 and 158,284 is: 339,064.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,891 : 158,284 = 158,284 : x
  2. Step 2: Convert to fraction form
    73,891/158,284 = 158,284/x
  3. Step 3: Cross multiply
    73,891x = 158,284 × 158,284
  4. Step 4: Simplify right side
    73,891x = 25,053,824,656
  5. Step 5: Solve for x
    x = 25,053,824,656/73,891
  6. Step 6: Final answer
    x = 339,064.63

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.