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Finding the Third Proportional to 45,949 and 104,069

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Solution

The third proportional to 45,949 and 104,069 is: 235,703.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,949 : 104,069 = 104,069 : x
  2. Step 2: Convert to fraction form
    45,949/104,069 = 104,069/x
  3. Step 3: Cross multiply
    45,949x = 104,069 × 104,069
  4. Step 4: Simplify right side
    45,949x = 10,830,356,761
  5. Step 5: Solve for x
    x = 10,830,356,761/45,949
  6. Step 6: Final answer
    x = 235,703.86

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.