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Finding the Third Proportional to 84,608.25 and 126,929

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Solution

The third proportional to 84,608.25 and 126,929 is: 190,418.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,608.25 : 126,929 = 126,929 : x
  2. Step 2: Convert to fraction form
    84,608.25/126,929 = 126,929/x
  3. Step 3: Cross multiply
    84,608.25x = 126,929 × 126,929
  4. Step 4: Simplify right side
    84,608.25x = 16,110,971,041
  5. Step 5: Solve for x
    x = 16,110,971,041/84,608.25
  6. Step 6: Final answer
    x = 190,418.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.