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Finding the Third Proportional to 49,107 and 107,210

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Solution

The third proportional to 49,107 and 107,210 is: 234,059.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,107 : 107,210 = 107,210 : x
  2. Step 2: Convert to fraction form
    49,107/107,210 = 107,210/x
  3. Step 3: Cross multiply
    49,107x = 107,210 × 107,210
  4. Step 4: Simplify right side
    49,107x = 11,493,984,100
  5. Step 5: Solve for x
    x = 11,493,984,100/49,107
  6. Step 6: Final answer
    x = 234,059.99

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.