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Finding the Third Proportional to 55,074 and 114,891

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Solution

The third proportional to 55,074 and 114,891 is: 239,676.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,074 : 114,891 = 114,891 : x
  2. Step 2: Convert to fraction form
    55,074/114,891 = 114,891/x
  3. Step 3: Cross multiply
    55,074x = 114,891 × 114,891
  4. Step 4: Simplify right side
    55,074x = 13,199,941,881
  5. Step 5: Solve for x
    x = 13,199,941,881/55,074
  6. Step 6: Final answer
    x = 239,676.47

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.