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Finding the Third Proportional to 74,244 and 114,879

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Solution

The third proportional to 74,244 and 114,879 is: 177,754.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,244 : 114,879 = 114,879 : x
  2. Step 2: Convert to fraction form
    74,244/114,879 = 114,879/x
  3. Step 3: Cross multiply
    74,244x = 114,879 × 114,879
  4. Step 4: Simplify right side
    74,244x = 13,197,184,641
  5. Step 5: Solve for x
    x = 13,197,184,641/74,244
  6. Step 6: Final answer
    x = 177,754.22

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.