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Finding the Third Proportional to 86,200 and 133,092

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Solution

The third proportional to 86,200 and 133,092 is: 205,492.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,200 : 133,092 = 133,092 : x
  2. Step 2: Convert to fraction form
    86,200/133,092 = 133,092/x
  3. Step 3: Cross multiply
    86,200x = 133,092 × 133,092
  4. Step 4: Simplify right side
    86,200x = 17,713,480,464
  5. Step 5: Solve for x
    x = 17,713,480,464/86,200
  6. Step 6: Final answer
    x = 205,492.81

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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.