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Finding the Third Proportional to 51,954 and 112,653

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Solution

The third proportional to 51,954 and 112,653 is: 244,267.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,954 : 112,653 = 112,653 : x
  2. Step 2: Convert to fraction form
    51,954/112,653 = 112,653/x
  3. Step 3: Cross multiply
    51,954x = 112,653 × 112,653
  4. Step 4: Simplify right side
    51,954x = 12,690,698,409
  5. Step 5: Solve for x
    x = 12,690,698,409/51,954
  6. Step 6: Final answer
    x = 244,267.98

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Why These Related Problems?

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