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Finding the Third Proportional to 55,973 and 120,226

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Solution

The third proportional to 55,973 and 120,226 is: 258,236.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,973 : 120,226 = 120,226 : x
  2. Step 2: Convert to fraction form
    55,973/120,226 = 120,226/x
  3. Step 3: Cross multiply
    55,973x = 120,226 × 120,226
  4. Step 4: Simplify right side
    55,973x = 14,454,291,076
  5. Step 5: Solve for x
    x = 14,454,291,076/55,973
  6. Step 6: Final answer
    x = 258,236.85

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.