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Finding the Third Proportional to 48,475 and 103,969

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Solution

The third proportional to 48,475 and 103,969 is: 222,992.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,475 : 103,969 = 103,969 : x
  2. Step 2: Convert to fraction form
    48,475/103,969 = 103,969/x
  3. Step 3: Cross multiply
    48,475x = 103,969 × 103,969
  4. Step 4: Simplify right side
    48,475x = 10,809,552,961
  5. Step 5: Solve for x
    x = 10,809,552,961/48,475
  6. Step 6: Final answer
    x = 222,992.33

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.