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Finding the Third Proportional to 37,213 and 80,041

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Solution

The third proportional to 37,213 and 80,041 is: 172,159.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,213 : 80,041 = 80,041 : x
  2. Step 2: Convert to fraction form
    37,213/80,041 = 80,041/x
  3. Step 3: Cross multiply
    37,213x = 80,041 × 80,041
  4. Step 4: Simplify right side
    37,213x = 6,406,561,681
  5. Step 5: Solve for x
    x = 6,406,561,681/37,213
  6. Step 6: Final answer
    x = 172,159.24

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.