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Finding the Third Proportional to 80,412.75 and 118,211.63

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Solution

The third proportional to 80,412.75 and 118,211.63 is: 173,778.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,412.75 : 118,211.63 = 118,211.63 : x
  2. Step 2: Convert to fraction form
    80,412.75/118,211.63 = 118,211.63/x
  3. Step 3: Cross multiply
    80,412.75x = 118,211.63 × 118,211.63
  4. Step 4: Simplify right side
    80,412.75x = 13,973,988,285.14
  5. Step 5: Solve for x
    x = 13,973,988,285.14/80,412.75
  6. Step 6: Final answer
    x = 173,778.27

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.