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Finding the Third Proportional to 87,258.94 and 189,504.56

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Solution

The third proportional to 87,258.94 and 189,504.56 is: 411,556.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,258.94 : 189,504.56 = 189,504.56 : x
  2. Step 2: Convert to fraction form
    87,258.94/189,504.56 = 189,504.56/x
  3. Step 3: Cross multiply
    87,258.94x = 189,504.56 × 189,504.56
  4. Step 4: Simplify right side
    87,258.94x = 35,911,979,208.32
  5. Step 5: Solve for x
    x = 35,911,979,208.32/87,258.94
  6. Step 6: Final answer
    x = 411,556.46

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.