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Finding the Third Proportional to 37,468 and 80,251

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Solution

The third proportional to 37,468 and 80,251 is: 171,885.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,468 : 80,251 = 80,251 : x
  2. Step 2: Convert to fraction form
    37,468/80,251 = 80,251/x
  3. Step 3: Cross multiply
    37,468x = 80,251 × 80,251
  4. Step 4: Simplify right side
    37,468x = 6,440,223,001
  5. Step 5: Solve for x
    x = 6,440,223,001/37,468
  6. Step 6: Final answer
    x = 171,885.96

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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.