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Finding the Third Proportional to 35,106.75 and 76,125

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Solution

The third proportional to 35,106.75 and 76,125 is: 165,068.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,106.75 : 76,125 = 76,125 : x
  2. Step 2: Convert to fraction form
    35,106.75/76,125 = 76,125/x
  3. Step 3: Cross multiply
    35,106.75x = 76,125 × 76,125
  4. Step 4: Simplify right side
    35,106.75x = 5,795,015,625
  5. Step 5: Solve for x
    x = 5,795,015,625/35,106.75
  6. Step 6: Final answer
    x = 165,068.42

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.