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Finding the Third Proportional to 38,099 and 59,201

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Solution

The third proportional to 38,099 and 59,201 is: 91,990.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,099 : 59,201 = 59,201 : x
  2. Step 2: Convert to fraction form
    38,099/59,201 = 59,201/x
  3. Step 3: Cross multiply
    38,099x = 59,201 × 59,201
  4. Step 4: Simplify right side
    38,099x = 3,504,758,401
  5. Step 5: Solve for x
    x = 3,504,758,401/38,099
  6. Step 6: Final answer
    x = 91,990.82

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.