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Finding the Third Proportional to 104,010 and 202,834

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Solution

The third proportional to 104,010 and 202,834 is: 395,554.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,010 : 202,834 = 202,834 : x
  2. Step 2: Convert to fraction form
    104,010/202,834 = 202,834/x
  3. Step 3: Cross multiply
    104,010x = 202,834 × 202,834
  4. Step 4: Simplify right side
    104,010x = 41,141,631,556
  5. Step 5: Solve for x
    x = 41,141,631,556/104,010
  6. Step 6: Final answer
    x = 395,554.58

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.