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Finding the Third Proportional to 119,576.25 and 177,055.88

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Solution

The third proportional to 119,576.25 and 177,055.88 is: 262,165.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,576.25 : 177,055.88 = 177,055.88 : x
  2. Step 2: Convert to fraction form
    119,576.25/177,055.88 = 177,055.88/x
  3. Step 3: Cross multiply
    119,576.25x = 177,055.88 × 177,055.88
  4. Step 4: Simplify right side
    119,576.25x = 31,348,782,872.02
  5. Step 5: Solve for x
    x = 31,348,782,872.02/119,576.25
  6. Step 6: Final answer
    x = 262,165.63

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.