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Finding the Third Proportional to 111,620.25 and 168,468.75

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Solution

The third proportional to 111,620.25 and 168,468.75 is: 254,270.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,620.25 : 168,468.75 = 168,468.75 : x
  2. Step 2: Convert to fraction form
    111,620.25/168,468.75 = 168,468.75/x
  3. Step 3: Cross multiply
    111,620.25x = 168,468.75 × 168,468.75
  4. Step 4: Simplify right side
    111,620.25x = 28,381,719,726.56
  5. Step 5: Solve for x
    x = 28,381,719,726.56/111,620.25
  6. Step 6: Final answer
    x = 254,270.35

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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.