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Finding the Third Proportional to 51,889 and 114,146

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Solution

The third proportional to 51,889 and 114,146 is: 251,099.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,889 : 114,146 = 114,146 : x
  2. Step 2: Convert to fraction form
    51,889/114,146 = 114,146/x
  3. Step 3: Cross multiply
    51,889x = 114,146 × 114,146
  4. Step 4: Simplify right side
    51,889x = 13,029,309,316
  5. Step 5: Solve for x
    x = 13,029,309,316/51,889
  6. Step 6: Final answer
    x = 251,099.64

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.