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Finding the Third Proportional to 34,121 and 50,205

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Solution

The third proportional to 34,121 and 50,205 is: 73,870.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,121 : 50,205 = 50,205 : x
  2. Step 2: Convert to fraction form
    34,121/50,205 = 50,205/x
  3. Step 3: Cross multiply
    34,121x = 50,205 × 50,205
  4. Step 4: Simplify right side
    34,121x = 2,520,542,025
  5. Step 5: Solve for x
    x = 2,520,542,025/34,121
  6. Step 6: Final answer
    x = 73,870.70

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.