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Finding the Third Proportional to 51,843 and 113,430

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Solution

The third proportional to 51,843 and 113,430 is: 248,179.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,843 : 113,430 = 113,430 : x
  2. Step 2: Convert to fraction form
    51,843/113,430 = 113,430/x
  3. Step 3: Cross multiply
    51,843x = 113,430 × 113,430
  4. Step 4: Simplify right side
    51,843x = 12,866,364,900
  5. Step 5: Solve for x
    x = 12,866,364,900/51,843
  6. Step 6: Final answer
    x = 248,179.41

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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.