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Finding the Third Proportional to 51,225 and 76,095

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Solution

The third proportional to 51,225 and 76,095 is: 113,039.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,225 : 76,095 = 76,095 : x
  2. Step 2: Convert to fraction form
    51,225/76,095 = 76,095/x
  3. Step 3: Cross multiply
    51,225x = 76,095 × 76,095
  4. Step 4: Simplify right side
    51,225x = 5,790,449,025
  5. Step 5: Solve for x
    x = 5,790,449,025/51,225
  6. Step 6: Final answer
    x = 113,039.51

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.