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Finding the Third Proportional to 86,192 and 133,932

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Solution

The third proportional to 86,192 and 133,932 is: 208,114.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,192 : 133,932 = 133,932 : x
  2. Step 2: Convert to fraction form
    86,192/133,932 = 133,932/x
  3. Step 3: Cross multiply
    86,192x = 133,932 × 133,932
  4. Step 4: Simplify right side
    86,192x = 17,937,780,624
  5. Step 5: Solve for x
    x = 17,937,780,624/86,192
  6. Step 6: Final answer
    x = 208,114.22

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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.