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Finding the Third Proportional to 86,594 and 179,994

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Solution

The third proportional to 86,594 and 179,994 is: 374,134.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,594 : 179,994 = 179,994 : x
  2. Step 2: Convert to fraction form
    86,594/179,994 = 179,994/x
  3. Step 3: Cross multiply
    86,594x = 179,994 × 179,994
  4. Step 4: Simplify right side
    86,594x = 32,397,840,036
  5. Step 5: Solve for x
    x = 32,397,840,036/86,594
  6. Step 6: Final answer
    x = 374,134.93

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.