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Finding the Third Proportional to 101,941 and 217,004

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Solution

The third proportional to 101,941 and 217,004 is: 461,941.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,941 : 217,004 = 217,004 : x
  2. Step 2: Convert to fraction form
    101,941/217,004 = 217,004/x
  3. Step 3: Cross multiply
    101,941x = 217,004 × 217,004
  4. Step 4: Simplify right side
    101,941x = 47,090,736,016
  5. Step 5: Solve for x
    x = 47,090,736,016/101,941
  6. Step 6: Final answer
    x = 461,941.08

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.