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Finding the Third Proportional to 56,103 and 120,954

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Solution

The third proportional to 56,103 and 120,954 is: 260,768.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,103 : 120,954 = 120,954 : x
  2. Step 2: Convert to fraction form
    56,103/120,954 = 120,954/x
  3. Step 3: Cross multiply
    56,103x = 120,954 × 120,954
  4. Step 4: Simplify right side
    56,103x = 14,629,870,116
  5. Step 5: Solve for x
    x = 14,629,870,116/56,103
  6. Step 6: Final answer
    x = 260,768.05

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Why These Related Problems?

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