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Finding the Third Proportional to 47,520 and 103,896

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Solution

The third proportional to 47,520 and 103,896 is: 227,154.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,520 : 103,896 = 103,896 : x
  2. Step 2: Convert to fraction form
    47,520/103,896 = 103,896/x
  3. Step 3: Cross multiply
    47,520x = 103,896 × 103,896
  4. Step 4: Simplify right side
    47,520x = 10,794,378,816
  5. Step 5: Solve for x
    x = 10,794,378,816/47,520
  6. Step 6: Final answer
    x = 227,154.44

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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.