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Finding the Third Proportional to 78,849 and 119,093.63

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Solution

The third proportional to 78,849 and 119,093.63 is: 179,879.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,849 : 119,093.63 = 119,093.63 : x
  2. Step 2: Convert to fraction form
    78,849/119,093.63 = 119,093.63/x
  3. Step 3: Cross multiply
    78,849x = 119,093.63 × 119,093.63
  4. Step 4: Simplify right side
    78,849x = 14,183,291,515.64
  5. Step 5: Solve for x
    x = 14,183,291,515.64/78,849
  6. Step 6: Final answer
    x = 179,879.16

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.