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Finding the Third Proportional to 48,156 and 103,927

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Solution

The third proportional to 48,156 and 103,927 is: 224,288.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,156 : 103,927 = 103,927 : x
  2. Step 2: Convert to fraction form
    48,156/103,927 = 103,927/x
  3. Step 3: Cross multiply
    48,156x = 103,927 × 103,927
  4. Step 4: Simplify right side
    48,156x = 10,800,821,329
  5. Step 5: Solve for x
    x = 10,800,821,329/48,156
  6. Step 6: Final answer
    x = 224,288.17

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.