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Finding the Third Proportional to 34,740 and 74,756

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Solution

The third proportional to 34,740 and 74,756 is: 160,865.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,740 : 74,756 = 74,756 : x
  2. Step 2: Convert to fraction form
    34,740/74,756 = 74,756/x
  3. Step 3: Cross multiply
    34,740x = 74,756 × 74,756
  4. Step 4: Simplify right side
    34,740x = 5,588,459,536
  5. Step 5: Solve for x
    x = 5,588,459,536/34,740
  6. Step 6: Final answer
    x = 160,865.27

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.