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Finding the Third Proportional to 55,194 and 119,989

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Solution

The third proportional to 55,194 and 119,989 is: 260,850.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,194 : 119,989 = 119,989 : x
  2. Step 2: Convert to fraction form
    55,194/119,989 = 119,989/x
  3. Step 3: Cross multiply
    55,194x = 119,989 × 119,989
  4. Step 4: Simplify right side
    55,194x = 14,397,360,121
  5. Step 5: Solve for x
    x = 14,397,360,121/55,194
  6. Step 6: Final answer
    x = 260,850.09

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Why These Related Problems?

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