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Finding the Third Proportional to 75,223.69 and 167,054.91

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Solution

The third proportional to 75,223.69 and 167,054.91 is: 370,991.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,223.69 : 167,054.91 = 167,054.91 : x
  2. Step 2: Convert to fraction form
    75,223.69/167,054.91 = 167,054.91/x
  3. Step 3: Cross multiply
    75,223.69x = 167,054.91 × 167,054.91
  4. Step 4: Simplify right side
    75,223.69x = 27,907,341,702.20
  5. Step 5: Solve for x
    x = 27,907,341,702.20/75,223.69
  6. Step 6: Final answer
    x = 370,991.41

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.