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Finding the Third Proportional to 48,914 and 107,205

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Solution

The third proportional to 48,914 and 107,205 is: 234,961.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,914 : 107,205 = 107,205 : x
  2. Step 2: Convert to fraction form
    48,914/107,205 = 107,205/x
  3. Step 3: Cross multiply
    48,914x = 107,205 × 107,205
  4. Step 4: Simplify right side
    48,914x = 11,492,912,025
  5. Step 5: Solve for x
    x = 11,492,912,025/48,914
  6. Step 6: Final answer
    x = 234,961.61

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.