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Finding the Third Proportional to 51,394 and 112,102

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Solution

The third proportional to 51,394 and 112,102 is: 244,519.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,394 : 112,102 = 112,102 : x
  2. Step 2: Convert to fraction form
    51,394/112,102 = 112,102/x
  3. Step 3: Cross multiply
    51,394x = 112,102 × 112,102
  4. Step 4: Simplify right side
    51,394x = 12,566,858,404
  5. Step 5: Solve for x
    x = 12,566,858,404/51,394
  6. Step 6: Final answer
    x = 244,519.95

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.