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Finding the Third Proportional to 37,468 and 80,278

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Solution

The third proportional to 37,468 and 80,278 is: 172,001.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,468 : 80,278 = 80,278 : x
  2. Step 2: Convert to fraction form
    37,468/80,278 = 80,278/x
  3. Step 3: Cross multiply
    37,468x = 80,278 × 80,278
  4. Step 4: Simplify right side
    37,468x = 6,444,557,284
  5. Step 5: Solve for x
    x = 6,444,557,284/37,468
  6. Step 6: Final answer
    x = 172,001.64

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.