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Finding the Third Proportional to 48,201 and 104,447

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Solution

The third proportional to 48,201 and 104,447 is: 226,326.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,201 : 104,447 = 104,447 : x
  2. Step 2: Convert to fraction form
    48,201/104,447 = 104,447/x
  3. Step 3: Cross multiply
    48,201x = 104,447 × 104,447
  4. Step 4: Simplify right side
    48,201x = 10,909,175,809
  5. Step 5: Solve for x
    x = 10,909,175,809/48,201
  6. Step 6: Final answer
    x = 226,326.75

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.