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Finding the Third Proportional to 80,144 and 107,076

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Solution

The third proportional to 80,144 and 107,076 is: 143,058.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,144 : 107,076 = 107,076 : x
  2. Step 2: Convert to fraction form
    80,144/107,076 = 107,076/x
  3. Step 3: Cross multiply
    80,144x = 107,076 × 107,076
  4. Step 4: Simplify right side
    80,144x = 11,465,269,776
  5. Step 5: Solve for x
    x = 11,465,269,776/80,144
  6. Step 6: Final answer
    x = 143,058.37

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.