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Finding the Third Proportional to 87,447.09 and 135,035.86

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Solution

The third proportional to 87,447.09 and 135,035.86 is: 208,522.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,447.09 : 135,035.86 = 135,035.86 : x
  2. Step 2: Convert to fraction form
    87,447.09/135,035.86 = 135,035.86/x
  3. Step 3: Cross multiply
    87,447.09x = 135,035.86 × 135,035.86
  4. Step 4: Simplify right side
    87,447.09x = 18,234,683,317.14
  5. Step 5: Solve for x
    x = 18,234,683,317.14/87,447.09
  6. Step 6: Final answer
    x = 208,522.46

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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.