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Finding the Third Proportional to 74,382 and 104,036

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Solution

The third proportional to 74,382 and 104,036 is: 145,512.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,382 : 104,036 = 104,036 : x
  2. Step 2: Convert to fraction form
    74,382/104,036 = 104,036/x
  3. Step 3: Cross multiply
    74,382x = 104,036 × 104,036
  4. Step 4: Simplify right side
    74,382x = 10,823,489,296
  5. Step 5: Solve for x
    x = 10,823,489,296/74,382
  6. Step 6: Final answer
    x = 145,512.21

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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.