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Finding the Third Proportional to 86,202.42 and 134,543.39

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Solution

The third proportional to 86,202.42 and 134,543.39 is: 209,993.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,202.42 : 134,543.39 = 134,543.39 : x
  2. Step 2: Convert to fraction form
    86,202.42/134,543.39 = 134,543.39/x
  3. Step 3: Cross multiply
    86,202.42x = 134,543.39 × 134,543.39
  4. Step 4: Simplify right side
    86,202.42x = 18,101,923,960.87
  5. Step 5: Solve for x
    x = 18,101,923,960.87/86,202.42
  6. Step 6: Final answer
    x = 209,993.22

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.