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Finding the Third Proportional to 106,659.75 and 171,815.63

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Solution

The third proportional to 106,659.75 and 171,815.63 is: 276,773.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,659.75 : 171,815.63 = 171,815.63 : x
  2. Step 2: Convert to fraction form
    106,659.75/171,815.63 = 171,815.63/x
  3. Step 3: Cross multiply
    106,659.75x = 171,815.63 × 171,815.63
  4. Step 4: Simplify right side
    106,659.75x = 29,520,608,994.14
  5. Step 5: Solve for x
    x = 29,520,608,994.14/106,659.75
  6. Step 6: Final answer
    x = 276,773.66

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.