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Finding the Third Proportional to 115,965 and 179,185.50

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Solution

The third proportional to 115,965 and 179,185.50 is: 276,871.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,965 : 179,185.50 = 179,185.50 : x
  2. Step 2: Convert to fraction form
    115,965/179,185.50 = 179,185.50/x
  3. Step 3: Cross multiply
    115,965x = 179,185.50 × 179,185.50
  4. Step 4: Simplify right side
    115,965x = 32,107,443,410.25
  5. Step 5: Solve for x
    x = 32,107,443,410.25/115,965
  6. Step 6: Final answer
    x = 276,871.84

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.