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Finding the Third Proportional to 55,414.13 and 120,123

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Solution

The third proportional to 55,414.13 and 120,123 is: 260,394.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,414.13 : 120,123 = 120,123 : x
  2. Step 2: Convert to fraction form
    55,414.13/120,123 = 120,123/x
  3. Step 3: Cross multiply
    55,414.13x = 120,123 × 120,123
  4. Step 4: Simplify right side
    55,414.13x = 14,429,535,129
  5. Step 5: Solve for x
    x = 14,429,535,129/55,414.13
  6. Step 6: Final answer
    x = 260,394.53

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.