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Finding the Third Proportional to 51,617 and 113,068

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Solution

The third proportional to 51,617 and 113,068 is: 247,677.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,617 : 113,068 = 113,068 : x
  2. Step 2: Convert to fraction form
    51,617/113,068 = 113,068/x
  3. Step 3: Cross multiply
    51,617x = 113,068 × 113,068
  4. Step 4: Simplify right side
    51,617x = 12,784,372,624
  5. Step 5: Solve for x
    x = 12,784,372,624/51,617
  6. Step 6: Final answer
    x = 247,677.56

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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.