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Finding the Third Proportional to 48,696 and 103,670

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Solution

The third proportional to 48,696 and 103,670 is: 220,705.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,696 : 103,670 = 103,670 : x
  2. Step 2: Convert to fraction form
    48,696/103,670 = 103,670/x
  3. Step 3: Cross multiply
    48,696x = 103,670 × 103,670
  4. Step 4: Simplify right side
    48,696x = 10,747,468,900
  5. Step 5: Solve for x
    x = 10,747,468,900/48,696
  6. Step 6: Final answer
    x = 220,705.37

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.