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Finding the Third Proportional to 51,841 and 113,726

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Solution

The third proportional to 51,841 and 113,726 is: 249,485.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,841 : 113,726 = 113,726 : x
  2. Step 2: Convert to fraction form
    51,841/113,726 = 113,726/x
  3. Step 3: Cross multiply
    51,841x = 113,726 × 113,726
  4. Step 4: Simplify right side
    51,841x = 12,933,603,076
  5. Step 5: Solve for x
    x = 12,933,603,076/51,841
  6. Step 6: Final answer
    x = 249,485.99

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.