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Finding the Third Proportional to 79,827.19 and 122,736.94

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Solution

The third proportional to 79,827.19 and 122,736.94 is: 188,712.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,827.19 : 122,736.94 = 122,736.94 : x
  2. Step 2: Convert to fraction form
    79,827.19/122,736.94 = 122,736.94/x
  3. Step 3: Cross multiply
    79,827.19x = 122,736.94 × 122,736.94
  4. Step 4: Simplify right side
    79,827.19x = 15,064,355,826.88
  5. Step 5: Solve for x
    x = 15,064,355,826.88/79,827.19
  6. Step 6: Final answer
    x = 188,712.10

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.