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Finding the Third Proportional to 49,981.50 and 101,970

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Solution

The third proportional to 49,981.50 and 101,970 is: 208,034.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,981.50 : 101,970 = 101,970 : x
  2. Step 2: Convert to fraction form
    49,981.50/101,970 = 101,970/x
  3. Step 3: Cross multiply
    49,981.50x = 101,970 × 101,970
  4. Step 4: Simplify right side
    49,981.50x = 10,397,880,900
  5. Step 5: Solve for x
    x = 10,397,880,900/49,981.50
  6. Step 6: Final answer
    x = 208,034.59

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.