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Finding the Third Proportional to 117,555.75 and 177,426.75

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Solution

The third proportional to 117,555.75 and 177,426.75 is: 267,789.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,555.75 : 177,426.75 = 177,426.75 : x
  2. Step 2: Convert to fraction form
    117,555.75/177,426.75 = 177,426.75/x
  3. Step 3: Cross multiply
    117,555.75x = 177,426.75 × 177,426.75
  4. Step 4: Simplify right side
    117,555.75x = 31,480,251,615.56
  5. Step 5: Solve for x
    x = 31,480,251,615.56/117,555.75
  6. Step 6: Final answer
    x = 267,789.98

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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.