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Finding the Third Proportional to 48,600 and 103,941

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Solution

The third proportional to 48,600 and 103,941 is: 222,299.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,600 : 103,941 = 103,941 : x
  2. Step 2: Convert to fraction form
    48,600/103,941 = 103,941/x
  3. Step 3: Cross multiply
    48,600x = 103,941 × 103,941
  4. Step 4: Simplify right side
    48,600x = 10,803,731,481
  5. Step 5: Solve for x
    x = 10,803,731,481/48,600
  6. Step 6: Final answer
    x = 222,299.00

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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.