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Finding the Third Proportional to 55,954 and 109,074

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Solution

The third proportional to 55,954 and 109,074 is: 212,623.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,954 : 109,074 = 109,074 : x
  2. Step 2: Convert to fraction form
    55,954/109,074 = 109,074/x
  3. Step 3: Cross multiply
    55,954x = 109,074 × 109,074
  4. Step 4: Simplify right side
    55,954x = 11,897,137,476
  5. Step 5: Solve for x
    x = 11,897,137,476/55,954
  6. Step 6: Final answer
    x = 212,623.54

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.