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Finding the Third Proportional to 34,734 and 74,742

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Solution

The third proportional to 34,734 and 74,742 is: 160,832.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,734 : 74,742 = 74,742 : x
  2. Step 2: Convert to fraction form
    34,734/74,742 = 74,742/x
  3. Step 3: Cross multiply
    34,734x = 74,742 × 74,742
  4. Step 4: Simplify right side
    34,734x = 5,586,366,564
  5. Step 5: Solve for x
    x = 5,586,366,564/34,734
  6. Step 6: Final answer
    x = 160,832.80

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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.