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Finding the Third Proportional to 117,543.75 and 177,408.75

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Solution

The third proportional to 117,543.75 and 177,408.75 is: 267,762.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,543.75 : 177,408.75 = 177,408.75 : x
  2. Step 2: Convert to fraction form
    117,543.75/177,408.75 = 177,408.75/x
  3. Step 3: Cross multiply
    117,543.75x = 177,408.75 × 177,408.75
  4. Step 4: Simplify right side
    117,543.75x = 31,473,864,576.56
  5. Step 5: Solve for x
    x = 31,473,864,576.56/117,543.75
  6. Step 6: Final answer
    x = 267,762.98

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.