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Finding the Third Proportional to 34,226 and 74,068

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Solution

The third proportional to 34,226 and 74,068 is: 160,289.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,226 : 74,068 = 74,068 : x
  2. Step 2: Convert to fraction form
    34,226/74,068 = 74,068/x
  3. Step 3: Cross multiply
    34,226x = 74,068 × 74,068
  4. Step 4: Simplify right side
    34,226x = 5,486,068,624
  5. Step 5: Solve for x
    x = 5,486,068,624/34,226
  6. Step 6: Final answer
    x = 160,289.51

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.