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Finding the Third Proportional to 84,075.38 and 122,879.63

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Solution

The third proportional to 84,075.38 and 122,879.63 is: 179,593.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,075.38 : 122,879.63 = 122,879.63 : x
  2. Step 2: Convert to fraction form
    84,075.38/122,879.63 = 122,879.63/x
  3. Step 3: Cross multiply
    84,075.38x = 122,879.63 × 122,879.63
  4. Step 4: Simplify right side
    84,075.38x = 15,099,402,240.14
  5. Step 5: Solve for x
    x = 15,099,402,240.14/84,075.38
  6. Step 6: Final answer
    x = 179,593.64

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.