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Finding the Third Proportional to 51,460 and 110,622

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Solution

The third proportional to 51,460 and 110,622 is: 237,800.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,460 : 110,622 = 110,622 : x
  2. Step 2: Convert to fraction form
    51,460/110,622 = 110,622/x
  3. Step 3: Cross multiply
    51,460x = 110,622 × 110,622
  4. Step 4: Simplify right side
    51,460x = 12,237,226,884
  5. Step 5: Solve for x
    x = 12,237,226,884/51,460
  6. Step 6: Final answer
    x = 237,800.76

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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.