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Finding the Third Proportional to 75,623 and 116,079

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Solution

The third proportional to 75,623 and 116,079 is: 178,177.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,623 : 116,079 = 116,079 : x
  2. Step 2: Convert to fraction form
    75,623/116,079 = 116,079/x
  3. Step 3: Cross multiply
    75,623x = 116,079 × 116,079
  4. Step 4: Simplify right side
    75,623x = 13,474,334,241
  5. Step 5: Solve for x
    x = 13,474,334,241/75,623
  6. Step 6: Final answer
    x = 178,177.73

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.