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Finding the Third Proportional to 74,378 and 104,034

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Solution

The third proportional to 74,378 and 104,034 is: 145,514.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,378 : 104,034 = 104,034 : x
  2. Step 2: Convert to fraction form
    74,378/104,034 = 104,034/x
  3. Step 3: Cross multiply
    74,378x = 104,034 × 104,034
  4. Step 4: Simplify right side
    74,378x = 10,823,073,156
  5. Step 5: Solve for x
    x = 10,823,073,156/74,378
  6. Step 6: Final answer
    x = 145,514.44

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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.