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Finding the Third Proportional to 34,761 and 75,054

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Solution

The third proportional to 34,761 and 75,054 is: 162,052.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,761 : 75,054 = 75,054 : x
  2. Step 2: Convert to fraction form
    34,761/75,054 = 75,054/x
  3. Step 3: Cross multiply
    34,761x = 75,054 × 75,054
  4. Step 4: Simplify right side
    34,761x = 5,633,102,916
  5. Step 5: Solve for x
    x = 5,633,102,916/34,761
  6. Step 6: Final answer
    x = 162,052.38

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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.