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Finding the Third Proportional to 86,694 and 185,106

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Solution

The third proportional to 86,694 and 185,106 is: 395,231.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,694 : 185,106 = 185,106 : x
  2. Step 2: Convert to fraction form
    86,694/185,106 = 185,106/x
  3. Step 3: Cross multiply
    86,694x = 185,106 × 185,106
  4. Step 4: Simplify right side
    86,694x = 34,264,231,236
  5. Step 5: Solve for x
    x = 34,264,231,236/86,694
  6. Step 6: Final answer
    x = 395,231.86

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.