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Finding the Third Proportional to 34,794 and 76,152

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Solution

The third proportional to 34,794 and 76,152 is: 166,670.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,794 : 76,152 = 76,152 : x
  2. Step 2: Convert to fraction form
    34,794/76,152 = 76,152/x
  3. Step 3: Cross multiply
    34,794x = 76,152 × 76,152
  4. Step 4: Simplify right side
    34,794x = 5,799,127,104
  5. Step 5: Solve for x
    x = 5,799,127,104/34,794
  6. Step 6: Final answer
    x = 166,670.32

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.