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Finding the Third Proportional to 86,444 and 133,355

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Solution

The third proportional to 86,444 and 133,355 is: 205,723.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,444 : 133,355 = 133,355 : x
  2. Step 2: Convert to fraction form
    86,444/133,355 = 133,355/x
  3. Step 3: Cross multiply
    86,444x = 133,355 × 133,355
  4. Step 4: Simplify right side
    86,444x = 17,783,556,025
  5. Step 5: Solve for x
    x = 17,783,556,025/86,444
  6. Step 6: Final answer
    x = 205,723.43

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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.