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Finding the Third Proportional to 40,194 and 87,307.50

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Solution

The third proportional to 40,194 and 87,307.50 is: 189,645.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,194 : 87,307.50 = 87,307.50 : x
  2. Step 2: Convert to fraction form
    40,194/87,307.50 = 87,307.50/x
  3. Step 3: Cross multiply
    40,194x = 87,307.50 × 87,307.50
  4. Step 4: Simplify right side
    40,194x = 7,622,599,556.25
  5. Step 5: Solve for x
    x = 7,622,599,556.25/40,194
  6. Step 6: Final answer
    x = 189,645.21

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.