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Finding the Third Proportional to 55,992.75 and 120,894

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Solution

The third proportional to 55,992.75 and 120,894 is: 261,022.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,992.75 : 120,894 = 120,894 : x
  2. Step 2: Convert to fraction form
    55,992.75/120,894 = 120,894/x
  3. Step 3: Cross multiply
    55,992.75x = 120,894 × 120,894
  4. Step 4: Simplify right side
    55,992.75x = 14,615,359,236
  5. Step 5: Solve for x
    x = 14,615,359,236/55,992.75
  6. Step 6: Final answer
    x = 261,022.35

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.