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Finding the Third Proportional to 90,504 and 189,270

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Solution

The third proportional to 90,504 and 189,270 is: 395,818.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,504 : 189,270 = 189,270 : x
  2. Step 2: Convert to fraction form
    90,504/189,270 = 189,270/x
  3. Step 3: Cross multiply
    90,504x = 189,270 × 189,270
  4. Step 4: Simplify right side
    90,504x = 35,823,132,900
  5. Step 5: Solve for x
    x = 35,823,132,900/90,504
  6. Step 6: Final answer
    x = 395,818.23

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.