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Finding the Third Proportional to 106,672.50 and 165,210.75

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Solution

The third proportional to 106,672.50 and 165,210.75 is: 255,872.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,672.50 : 165,210.75 = 165,210.75 : x
  2. Step 2: Convert to fraction form
    106,672.50/165,210.75 = 165,210.75/x
  3. Step 3: Cross multiply
    106,672.50x = 165,210.75 × 165,210.75
  4. Step 4: Simplify right side
    106,672.50x = 27,294,591,915.56
  5. Step 5: Solve for x
    x = 27,294,591,915.56/106,672.50
  6. Step 6: Final answer
    x = 255,872.81

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.