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Finding the Third Proportional to 37,173 and 80,502

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Solution

The third proportional to 37,173 and 80,502 is: 174,335.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,173 : 80,502 = 80,502 : x
  2. Step 2: Convert to fraction form
    37,173/80,502 = 80,502/x
  3. Step 3: Cross multiply
    37,173x = 80,502 × 80,502
  4. Step 4: Simplify right side
    37,173x = 6,480,572,004
  5. Step 5: Solve for x
    x = 6,480,572,004/37,173
  6. Step 6: Final answer
    x = 174,335.46

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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.