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Finding the Third Proportional to 48,525 and 101,199

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Solution

The third proportional to 48,525 and 101,199 is: 211,050.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,525 : 101,199 = 101,199 : x
  2. Step 2: Convert to fraction form
    48,525/101,199 = 101,199/x
  3. Step 3: Cross multiply
    48,525x = 101,199 × 101,199
  4. Step 4: Simplify right side
    48,525x = 10,241,237,601
  5. Step 5: Solve for x
    x = 10,241,237,601/48,525
  6. Step 6: Final answer
    x = 211,050.75

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.