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Finding the Third Proportional to 74,132 and 110,994

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Solution

The third proportional to 74,132 and 110,994 is: 166,185.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,132 : 110,994 = 110,994 : x
  2. Step 2: Convert to fraction form
    74,132/110,994 = 110,994/x
  3. Step 3: Cross multiply
    74,132x = 110,994 × 110,994
  4. Step 4: Simplify right side
    74,132x = 12,319,668,036
  5. Step 5: Solve for x
    x = 12,319,668,036/74,132
  6. Step 6: Final answer
    x = 166,185.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.