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Finding the Third Proportional to 37,094 and 86,879

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Solution

The third proportional to 37,094 and 86,879 is: 203,481.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,094 : 86,879 = 86,879 : x
  2. Step 2: Convert to fraction form
    37,094/86,879 = 86,879/x
  3. Step 3: Cross multiply
    37,094x = 86,879 × 86,879
  4. Step 4: Simplify right side
    37,094x = 7,547,960,641
  5. Step 5: Solve for x
    x = 7,547,960,641/37,094
  6. Step 6: Final answer
    x = 203,481.98

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.