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Finding the Third Proportional to 50,294 and 104,721

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Solution

The third proportional to 50,294 and 104,721 is: 218,047.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,294 : 104,721 = 104,721 : x
  2. Step 2: Convert to fraction form
    50,294/104,721 = 104,721/x
  3. Step 3: Cross multiply
    50,294x = 104,721 × 104,721
  4. Step 4: Simplify right side
    50,294x = 10,966,487,841
  5. Step 5: Solve for x
    x = 10,966,487,841/50,294
  6. Step 6: Final answer
    x = 218,047.64

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.