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Finding the Third Proportional to 37,240 and 84,220

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Solution

The third proportional to 37,240 and 84,220 is: 190,467.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,240 : 84,220 = 84,220 : x
  2. Step 2: Convert to fraction form
    37,240/84,220 = 84,220/x
  3. Step 3: Cross multiply
    37,240x = 84,220 × 84,220
  4. Step 4: Simplify right side
    37,240x = 7,093,008,400
  5. Step 5: Solve for x
    x = 7,093,008,400/37,240
  6. Step 6: Final answer
    x = 190,467.47

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.