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Finding the Third Proportional to 90,517 and 193,053

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Solution

The third proportional to 90,517 and 193,053 is: 411,739.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,517 : 193,053 = 193,053 : x
  2. Step 2: Convert to fraction form
    90,517/193,053 = 193,053/x
  3. Step 3: Cross multiply
    90,517x = 193,053 × 193,053
  4. Step 4: Simplify right side
    90,517x = 37,269,460,809
  5. Step 5: Solve for x
    x = 37,269,460,809/90,517
  6. Step 6: Final answer
    x = 411,739.90

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.