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Finding the Third Proportional to 34,778 and 75,764

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Solution

The third proportional to 34,778 and 75,764 is: 165,052.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,778 : 75,764 = 75,764 : x
  2. Step 2: Convert to fraction form
    34,778/75,764 = 75,764/x
  3. Step 3: Cross multiply
    34,778x = 75,764 × 75,764
  4. Step 4: Simplify right side
    34,778x = 5,740,183,696
  5. Step 5: Solve for x
    x = 5,740,183,696/34,778
  6. Step 6: Final answer
    x = 165,052.15

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.