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Finding the Third Proportional to 102,576.75 and 164,813.25

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Solution

The third proportional to 102,576.75 and 164,813.25 is: 264,810.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,576.75 : 164,813.25 = 164,813.25 : x
  2. Step 2: Convert to fraction form
    102,576.75/164,813.25 = 164,813.25/x
  3. Step 3: Cross multiply
    102,576.75x = 164,813.25 × 164,813.25
  4. Step 4: Simplify right side
    102,576.75x = 27,163,407,375.56
  5. Step 5: Solve for x
    x = 27,163,407,375.56/102,576.75
  6. Step 6: Final answer
    x = 264,810.57

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.