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Finding the Third Proportional to 86,194 and 133,083

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Solution

The third proportional to 86,194 and 133,083 is: 205,479.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,194 : 133,083 = 133,083 : x
  2. Step 2: Convert to fraction form
    86,194/133,083 = 133,083/x
  3. Step 3: Cross multiply
    86,194x = 133,083 × 133,083
  4. Step 4: Simplify right side
    86,194x = 17,711,084,889
  5. Step 5: Solve for x
    x = 17,711,084,889/86,194
  6. Step 6: Final answer
    x = 205,479.32

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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.