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Finding the Third Proportional to 47,686 and 103,566

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Solution

The third proportional to 47,686 and 103,566 is: 224,927.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,686 : 103,566 = 103,566 : x
  2. Step 2: Convert to fraction form
    47,686/103,566 = 103,566/x
  3. Step 3: Cross multiply
    47,686x = 103,566 × 103,566
  4. Step 4: Simplify right side
    47,686x = 10,725,916,356
  5. Step 5: Solve for x
    x = 10,725,916,356/47,686
  6. Step 6: Final answer
    x = 224,927.99

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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.