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Finding the Third Proportional to 49,670 and 108,100

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Solution

The third proportional to 49,670 and 108,100 is: 235,264.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,670 : 108,100 = 108,100 : x
  2. Step 2: Convert to fraction form
    49,670/108,100 = 108,100/x
  3. Step 3: Cross multiply
    49,670x = 108,100 × 108,100
  4. Step 4: Simplify right side
    49,670x = 11,685,610,000
  5. Step 5: Solve for x
    x = 11,685,610,000/49,670
  6. Step 6: Final answer
    x = 235,264.95

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