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Finding the Third Proportional to 37,234 and 80,300

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Solution

The third proportional to 37,234 and 80,300 is: 173,177.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,234 : 80,300 = 80,300 : x
  2. Step 2: Convert to fraction form
    37,234/80,300 = 80,300/x
  3. Step 3: Cross multiply
    37,234x = 80,300 × 80,300
  4. Step 4: Simplify right side
    37,234x = 6,448,090,000
  5. Step 5: Solve for x
    x = 6,448,090,000/37,234
  6. Step 6: Final answer
    x = 173,177.47

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.