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Finding the Third Proportional to 90,173 and 193,924

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Solution

The third proportional to 90,173 and 193,924 is: 417,048.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,173 : 193,924 = 193,924 : x
  2. Step 2: Convert to fraction form
    90,173/193,924 = 193,924/x
  3. Step 3: Cross multiply
    90,173x = 193,924 × 193,924
  4. Step 4: Simplify right side
    90,173x = 37,606,517,776
  5. Step 5: Solve for x
    x = 37,606,517,776/90,173
  6. Step 6: Final answer
    x = 417,048.54

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.