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Finding the Third Proportional to 90,012 and 193,875

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Solution

The third proportional to 90,012 and 193,875 is: 417,583.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,012 : 193,875 = 193,875 : x
  2. Step 2: Convert to fraction form
    90,012/193,875 = 193,875/x
  3. Step 3: Cross multiply
    90,012x = 193,875 × 193,875
  4. Step 4: Simplify right side
    90,012x = 37,587,515,625
  5. Step 5: Solve for x
    x = 37,587,515,625/90,012
  6. Step 6: Final answer
    x = 417,583.38

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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.