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Finding the Third Proportional to 137,608.50 and 203,858.25

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Solution

The third proportional to 137,608.50 and 203,858.25 is: 302,003.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,608.50 : 203,858.25 = 203,858.25 : x
  2. Step 2: Convert to fraction form
    137,608.50/203,858.25 = 203,858.25/x
  3. Step 3: Cross multiply
    137,608.50x = 203,858.25 × 203,858.25
  4. Step 4: Simplify right side
    137,608.50x = 41,558,186,093.06
  5. Step 5: Solve for x
    x = 41,558,186,093.06/137,608.50
  6. Step 6: Final answer
    x = 302,003.05

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Why These Related Problems?

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