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Finding the Third Proportional to 74,004 and 109,296

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Solution

The third proportional to 74,004 and 109,296 is: 161,418.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,004 : 109,296 = 109,296 : x
  2. Step 2: Convert to fraction form
    74,004/109,296 = 109,296/x
  3. Step 3: Cross multiply
    74,004x = 109,296 × 109,296
  4. Step 4: Simplify right side
    74,004x = 11,945,615,616
  5. Step 5: Solve for x
    x = 11,945,615,616/74,004
  6. Step 6: Final answer
    x = 161,418.51

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.