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Finding the Third Proportional to 87,500.25 and 135,741.38

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Solution

The third proportional to 87,500.25 and 135,741.38 is: 210,579.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,500.25 : 135,741.38 = 135,741.38 : x
  2. Step 2: Convert to fraction form
    87,500.25/135,741.38 = 135,741.38/x
  3. Step 3: Cross multiply
    87,500.25x = 135,741.38 × 135,741.38
  4. Step 4: Simplify right side
    87,500.25x = 18,425,720,886.89
  5. Step 5: Solve for x
    x = 18,425,720,886.89/87,500.25
  6. Step 6: Final answer
    x = 210,579.07

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.