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Finding the Third Proportional to 121,083.75 and 188,984.25

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Solution

The third proportional to 121,083.75 and 188,984.25 is: 294,961.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,083.75 : 188,984.25 = 188,984.25 : x
  2. Step 2: Convert to fraction form
    121,083.75/188,984.25 = 188,984.25/x
  3. Step 3: Cross multiply
    121,083.75x = 188,984.25 × 188,984.25
  4. Step 4: Simplify right side
    121,083.75x = 35,715,046,748.06
  5. Step 5: Solve for x
    x = 35,715,046,748.06/121,083.75
  6. Step 6: Final answer
    x = 294,961.52

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.