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Finding the Third Proportional to 44,849 and 105,721

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Solution

The third proportional to 44,849 and 105,721 is: 249,212.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,849 : 105,721 = 105,721 : x
  2. Step 2: Convert to fraction form
    44,849/105,721 = 105,721/x
  3. Step 3: Cross multiply
    44,849x = 105,721 × 105,721
  4. Step 4: Simplify right side
    44,849x = 11,176,929,841
  5. Step 5: Solve for x
    x = 11,176,929,841/44,849
  6. Step 6: Final answer
    x = 249,212.46

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.