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Finding the Third Proportional to 74,412 and 104,085

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Solution

The third proportional to 74,412 and 104,085 is: 145,590.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,412 : 104,085 = 104,085 : x
  2. Step 2: Convert to fraction form
    74,412/104,085 = 104,085/x
  3. Step 3: Cross multiply
    74,412x = 104,085 × 104,085
  4. Step 4: Simplify right side
    74,412x = 10,833,687,225
  5. Step 5: Solve for x
    x = 10,833,687,225/74,412
  6. Step 6: Final answer
    x = 145,590.59

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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.