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Finding the Third Proportional to 114,849 and 168,378.75

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Solution

The third proportional to 114,849 and 168,378.75 is: 246,858.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,849 : 168,378.75 = 168,378.75 : x
  2. Step 2: Convert to fraction form
    114,849/168,378.75 = 168,378.75/x
  3. Step 3: Cross multiply
    114,849x = 168,378.75 × 168,378.75
  4. Step 4: Simplify right side
    114,849x = 28,351,403,451.56
  5. Step 5: Solve for x
    x = 28,351,403,451.56/114,849
  6. Step 6: Final answer
    x = 246,858.08

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.