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Finding the Third Proportional to 80,082 and 187,083

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Solution

The third proportional to 80,082 and 187,083 is: 437,052.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,082 : 187,083 = 187,083 : x
  2. Step 2: Convert to fraction form
    80,082/187,083 = 187,083/x
  3. Step 3: Cross multiply
    80,082x = 187,083 × 187,083
  4. Step 4: Simplify right side
    80,082x = 35,000,048,889
  5. Step 5: Solve for x
    x = 35,000,048,889/80,082
  6. Step 6: Final answer
    x = 437,052.63

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.