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Finding the Third Proportional to 45,044 and 104,267

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Solution

The third proportional to 45,044 and 104,267 is: 241,355.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,044 : 104,267 = 104,267 : x
  2. Step 2: Convert to fraction form
    45,044/104,267 = 104,267/x
  3. Step 3: Cross multiply
    45,044x = 104,267 × 104,267
  4. Step 4: Simplify right side
    45,044x = 10,871,607,289
  5. Step 5: Solve for x
    x = 10,871,607,289/45,044
  6. Step 6: Final answer
    x = 241,355.28

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.