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Finding the Third Proportional to 50,981 and 119,946

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Solution

The third proportional to 50,981 and 119,946 is: 282,204.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,981 : 119,946 = 119,946 : x
  2. Step 2: Convert to fraction form
    50,981/119,946 = 119,946/x
  3. Step 3: Cross multiply
    50,981x = 119,946 × 119,946
  4. Step 4: Simplify right side
    50,981x = 14,387,042,916
  5. Step 5: Solve for x
    x = 14,387,042,916/50,981
  6. Step 6: Final answer
    x = 282,204.02

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.