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Finding the Third Proportional to 48,450 and 103,905

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Solution

The third proportional to 48,450 and 103,905 is: 222,832.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,450 : 103,905 = 103,905 : x
  2. Step 2: Convert to fraction form
    48,450/103,905 = 103,905/x
  3. Step 3: Cross multiply
    48,450x = 103,905 × 103,905
  4. Step 4: Simplify right side
    48,450x = 10,796,249,025
  5. Step 5: Solve for x
    x = 10,796,249,025/48,450
  6. Step 6: Final answer
    x = 222,832.80

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.