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Finding the Third Proportional to 51,653 and 113,134

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Solution

The third proportional to 51,653 and 113,134 is: 247,793.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,653 : 113,134 = 113,134 : x
  2. Step 2: Convert to fraction form
    51,653/113,134 = 113,134/x
  3. Step 3: Cross multiply
    51,653x = 113,134 × 113,134
  4. Step 4: Simplify right side
    51,653x = 12,799,301,956
  5. Step 5: Solve for x
    x = 12,799,301,956/51,653
  6. Step 6: Final answer
    x = 247,793.97

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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.