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Finding the Third Proportional to 47,169 and 101,685

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Solution

The third proportional to 47,169 and 101,685 is: 219,208.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,169 : 101,685 = 101,685 : x
  2. Step 2: Convert to fraction form
    47,169/101,685 = 101,685/x
  3. Step 3: Cross multiply
    47,169x = 101,685 × 101,685
  4. Step 4: Simplify right side
    47,169x = 10,339,839,225
  5. Step 5: Solve for x
    x = 10,339,839,225/47,169
  6. Step 6: Final answer
    x = 219,208.36

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.