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Finding the Third Proportional to 116,924.25 and 171,012.38

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Solution

The third proportional to 116,924.25 and 171,012.38 is: 250,121.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,924.25 : 171,012.38 = 171,012.38 : x
  2. Step 2: Convert to fraction form
    116,924.25/171,012.38 = 171,012.38/x
  3. Step 3: Cross multiply
    116,924.25x = 171,012.38 × 171,012.38
  4. Step 4: Simplify right side
    116,924.25x = 29,245,232,403.14
  5. Step 5: Solve for x
    x = 29,245,232,403.14/116,924.25
  6. Step 6: Final answer
    x = 250,121.19

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.