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Finding the Third Proportional to 87,650.86 and 135,730.69

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Solution

The third proportional to 87,650.86 and 135,730.69 is: 210,184.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,650.86 : 135,730.69 = 135,730.69 : x
  2. Step 2: Convert to fraction form
    87,650.86/135,730.69 = 135,730.69/x
  3. Step 3: Cross multiply
    87,650.86x = 135,730.69 × 135,730.69
  4. Step 4: Simplify right side
    87,650.86x = 18,422,819,529.22
  5. Step 5: Solve for x
    x = 18,422,819,529.22/87,650.86
  6. Step 6: Final answer
    x = 210,184.13

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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.