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Finding the Third Proportional to 47,536 and 103,283

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Solution

The third proportional to 47,536 and 103,283 is: 224,406.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,536 : 103,283 = 103,283 : x
  2. Step 2: Convert to fraction form
    47,536/103,283 = 103,283/x
  3. Step 3: Cross multiply
    47,536x = 103,283 × 103,283
  4. Step 4: Simplify right side
    47,536x = 10,667,378,089
  5. Step 5: Solve for x
    x = 10,667,378,089/47,536
  6. Step 6: Final answer
    x = 224,406.30

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.