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Finding the Third Proportional to 74,586 and 104,283

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Solution

The third proportional to 74,586 and 104,283 is: 145,804.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,586 : 104,283 = 104,283 : x
  2. Step 2: Convert to fraction form
    74,586/104,283 = 104,283/x
  3. Step 3: Cross multiply
    74,586x = 104,283 × 104,283
  4. Step 4: Simplify right side
    74,586x = 10,874,944,089
  5. Step 5: Solve for x
    x = 10,874,944,089/74,586
  6. Step 6: Final answer
    x = 145,804.09

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.