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Finding the Third Proportional to 87,454.88 and 135,047.25

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Solution

The third proportional to 87,454.88 and 135,047.25 is: 208,539.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,454.88 : 135,047.25 = 135,047.25 : x
  2. Step 2: Convert to fraction form
    87,454.88/135,047.25 = 135,047.25/x
  3. Step 3: Cross multiply
    87,454.88x = 135,047.25 × 135,047.25
  4. Step 4: Simplify right side
    87,454.88x = 18,237,759,732.56
  5. Step 5: Solve for x
    x = 18,237,759,732.56/87,454.88
  6. Step 6: Final answer
    x = 208,539.09

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.