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Finding the Third Proportional to 90,061 and 193,963

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Solution

The third proportional to 90,061 and 193,963 is: 417,735.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,061 : 193,963 = 193,963 : x
  2. Step 2: Convert to fraction form
    90,061/193,963 = 193,963/x
  3. Step 3: Cross multiply
    90,061x = 193,963 × 193,963
  4. Step 4: Simplify right side
    90,061x = 37,621,645,369
  5. Step 5: Solve for x
    x = 37,621,645,369/90,061
  6. Step 6: Final answer
    x = 417,735.15

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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.