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Finding the Third Proportional to 76,544 and 116,436

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Solution

The third proportional to 76,544 and 116,436 is: 177,118.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,544 : 116,436 = 116,436 : x
  2. Step 2: Convert to fraction form
    76,544/116,436 = 116,436/x
  3. Step 3: Cross multiply
    76,544x = 116,436 × 116,436
  4. Step 4: Simplify right side
    76,544x = 13,557,342,096
  5. Step 5: Solve for x
    x = 13,557,342,096/76,544
  6. Step 6: Final answer
    x = 177,118.29

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.