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Finding the Third Proportional to 48,452 and 103,807

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Solution

The third proportional to 48,452 and 103,807 is: 222,403.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,452 : 103,807 = 103,807 : x
  2. Step 2: Convert to fraction form
    48,452/103,807 = 103,807/x
  3. Step 3: Cross multiply
    48,452x = 103,807 × 103,807
  4. Step 4: Simplify right side
    48,452x = 10,775,893,249
  5. Step 5: Solve for x
    x = 10,775,893,249/48,452
  6. Step 6: Final answer
    x = 222,403.48

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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.