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Finding the Third Proportional to 44,031 and 68,205

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Solution

The third proportional to 44,031 and 68,205 is: 105,651.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,031 : 68,205 = 68,205 : x
  2. Step 2: Convert to fraction form
    44,031/68,205 = 68,205/x
  3. Step 3: Cross multiply
    44,031x = 68,205 × 68,205
  4. Step 4: Simplify right side
    44,031x = 4,651,922,025
  5. Step 5: Solve for x
    x = 4,651,922,025/44,031
  6. Step 6: Final answer
    x = 105,651.06

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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.