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Finding the Third Proportional to 55,134 and 120,774.75

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Solution

The third proportional to 55,134 and 120,774.75 is: 264,565.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,134 : 120,774.75 = 120,774.75 : x
  2. Step 2: Convert to fraction form
    55,134/120,774.75 = 120,774.75/x
  3. Step 3: Cross multiply
    55,134x = 120,774.75 × 120,774.75
  4. Step 4: Simplify right side
    55,134x = 14,586,540,237.56
  5. Step 5: Solve for x
    x = 14,586,540,237.56/55,134
  6. Step 6: Final answer
    x = 264,565.25

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.