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Finding the Third Proportional to 118,951 and 170,975

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Solution

The third proportional to 118,951 and 170,975 is: 245,752.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,951 : 170,975 = 170,975 : x
  2. Step 2: Convert to fraction form
    118,951/170,975 = 170,975/x
  3. Step 3: Cross multiply
    118,951x = 170,975 × 170,975
  4. Step 4: Simplify right side
    118,951x = 29,232,450,625
  5. Step 5: Solve for x
    x = 29,232,450,625/118,951
  6. Step 6: Final answer
    x = 245,752.04

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.