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Finding the Third Proportional to 37,007 and 80,254

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Solution

The third proportional to 37,007 and 80,254 is: 174,040.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,007 : 80,254 = 80,254 : x
  2. Step 2: Convert to fraction form
    37,007/80,254 = 80,254/x
  3. Step 3: Cross multiply
    37,007x = 80,254 × 80,254
  4. Step 4: Simplify right side
    37,007x = 6,440,704,516
  5. Step 5: Solve for x
    x = 6,440,704,516/37,007
  6. Step 6: Final answer
    x = 174,040.17

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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.