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Finding the Third Proportional to 71,029.75 and 118,367.75

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Solution

The third proportional to 71,029.75 and 118,367.75 is: 197,254.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,029.75 : 118,367.75 = 118,367.75 : x
  2. Step 2: Convert to fraction form
    71,029.75/118,367.75 = 118,367.75/x
  3. Step 3: Cross multiply
    71,029.75x = 118,367.75 × 118,367.75
  4. Step 4: Simplify right side
    71,029.75x = 14,010,924,240.06
  5. Step 5: Solve for x
    x = 14,010,924,240.06/71,029.75
  6. Step 6: Final answer
    x = 197,254.31

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These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.