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Finding the Third Proportional to 49,766 and 104,140

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Solution

The third proportional to 49,766 and 104,140 is: 217,922.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,766 : 104,140 = 104,140 : x
  2. Step 2: Convert to fraction form
    49,766/104,140 = 104,140/x
  3. Step 3: Cross multiply
    49,766x = 104,140 × 104,140
  4. Step 4: Simplify right side
    49,766x = 10,845,139,600
  5. Step 5: Solve for x
    x = 10,845,139,600/49,766
  6. Step 6: Final answer
    x = 217,922.67

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.