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Finding the Third Proportional to 51,828 and 112,404

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Solution

The third proportional to 51,828 and 112,404 is: 243,780.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,828 : 112,404 = 112,404 : x
  2. Step 2: Convert to fraction form
    51,828/112,404 = 112,404/x
  3. Step 3: Cross multiply
    51,828x = 112,404 × 112,404
  4. Step 4: Simplify right side
    51,828x = 12,634,659,216
  5. Step 5: Solve for x
    x = 12,634,659,216/51,828
  6. Step 6: Final answer
    x = 243,780.57

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.