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Finding the Third Proportional to 47,685 and 104,706

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Solution

The third proportional to 47,685 and 104,706 is: 229,911.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,685 : 104,706 = 104,706 : x
  2. Step 2: Convert to fraction form
    47,685/104,706 = 104,706/x
  3. Step 3: Cross multiply
    47,685x = 104,706 × 104,706
  4. Step 4: Simplify right side
    47,685x = 10,963,346,436
  5. Step 5: Solve for x
    x = 10,963,346,436/47,685
  6. Step 6: Final answer
    x = 229,911.85

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.