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Finding the Third Proportional to 75,627 and 158,994

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Solution

The third proportional to 75,627 and 158,994 is: 334,260.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,627 : 158,994 = 158,994 : x
  2. Step 2: Convert to fraction form
    75,627/158,994 = 158,994/x
  3. Step 3: Cross multiply
    75,627x = 158,994 × 158,994
  4. Step 4: Simplify right side
    75,627x = 25,279,092,036
  5. Step 5: Solve for x
    x = 25,279,092,036/75,627
  6. Step 6: Final answer
    x = 334,260.15

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.