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Finding the Third Proportional to 47,368 and 103,651

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Solution

The third proportional to 47,368 and 103,651 is: 226,809.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,368 : 103,651 = 103,651 : x
  2. Step 2: Convert to fraction form
    47,368/103,651 = 103,651/x
  3. Step 3: Cross multiply
    47,368x = 103,651 × 103,651
  4. Step 4: Simplify right side
    47,368x = 10,743,529,801
  5. Step 5: Solve for x
    x = 10,743,529,801/47,368
  6. Step 6: Final answer
    x = 226,809.87

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.