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Finding the Third Proportional to 115,867 and 175,435

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Solution

The third proportional to 115,867 and 175,435 is: 265,627.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,867 : 175,435 = 175,435 : x
  2. Step 2: Convert to fraction form
    115,867/175,435 = 175,435/x
  3. Step 3: Cross multiply
    115,867x = 175,435 × 175,435
  4. Step 4: Simplify right side
    115,867x = 30,777,439,225
  5. Step 5: Solve for x
    x = 30,777,439,225/115,867
  6. Step 6: Final answer
    x = 265,627.31

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.