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Finding the Third Proportional to 42,099 and 63,149

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Solution

The third proportional to 42,099 and 63,149 is: 94,724.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,099 : 63,149 = 63,149 : x
  2. Step 2: Convert to fraction form
    42,099/63,149 = 63,149/x
  3. Step 3: Cross multiply
    42,099x = 63,149 × 63,149
  4. Step 4: Simplify right side
    42,099x = 3,987,796,201
  5. Step 5: Solve for x
    x = 3,987,796,201/42,099
  6. Step 6: Final answer
    x = 94,724.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.