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Finding the Third Proportional to 51,074 and 109,928

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Solution

The third proportional to 51,074 and 109,928 is: 236,601.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,074 : 109,928 = 109,928 : x
  2. Step 2: Convert to fraction form
    51,074/109,928 = 109,928/x
  3. Step 3: Cross multiply
    51,074x = 109,928 × 109,928
  4. Step 4: Simplify right side
    51,074x = 12,084,165,184
  5. Step 5: Solve for x
    x = 12,084,165,184/51,074
  6. Step 6: Final answer
    x = 236,601.11

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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.