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Finding the Third Proportional to 49,124 and 101,152

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Solution

The third proportional to 49,124 and 101,152 is: 208,283.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,124 : 101,152 = 101,152 : x
  2. Step 2: Convert to fraction form
    49,124/101,152 = 101,152/x
  3. Step 3: Cross multiply
    49,124x = 101,152 × 101,152
  4. Step 4: Simplify right side
    49,124x = 10,231,727,104
  5. Step 5: Solve for x
    x = 10,231,727,104/49,124
  6. Step 6: Final answer
    x = 208,283.67

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.