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Finding the Third Proportional to 80,636.06 and 112,782.94

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Solution

The third proportional to 80,636.06 and 112,782.94 is: 157,745.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,636.06 : 112,782.94 = 112,782.94 : x
  2. Step 2: Convert to fraction form
    80,636.06/112,782.94 = 112,782.94/x
  3. Step 3: Cross multiply
    80,636.06x = 112,782.94 × 112,782.94
  4. Step 4: Simplify right side
    80,636.06x = 12,719,990,991.13
  5. Step 5: Solve for x
    x = 12,719,990,991.13/80,636.06
  6. Step 6: Final answer
    x = 157,745.69

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.