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Finding the Third Proportional to 34,544 and 76,080

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Solution

The third proportional to 34,544 and 76,080 is: 167,559.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,544 : 76,080 = 76,080 : x
  2. Step 2: Convert to fraction form
    34,544/76,080 = 76,080/x
  3. Step 3: Cross multiply
    34,544x = 76,080 × 76,080
  4. Step 4: Simplify right side
    34,544x = 5,788,166,400
  5. Step 5: Solve for x
    x = 5,788,166,400/34,544
  6. Step 6: Final answer
    x = 167,559.24

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.