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Finding the Third Proportional to 73,853.44 and 114,573.66

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Solution

The third proportional to 73,853.44 and 114,573.66 is: 177,745.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,853.44 : 114,573.66 = 114,573.66 : x
  2. Step 2: Convert to fraction form
    73,853.44/114,573.66 = 114,573.66/x
  3. Step 3: Cross multiply
    73,853.44x = 114,573.66 × 114,573.66
  4. Step 4: Simplify right side
    73,853.44x = 13,127,122,706.49
  5. Step 5: Solve for x
    x = 13,127,122,706.49/73,853.44
  6. Step 6: Final answer
    x = 177,745.59

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.