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Finding the Third Proportional to 114,716.25 and 168,697.69

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Solution

The third proportional to 114,716.25 and 168,697.69 is: 248,080.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,716.25 : 168,697.69 = 168,697.69 : x
  2. Step 2: Convert to fraction form
    114,716.25/168,697.69 = 168,697.69/x
  3. Step 3: Cross multiply
    114,716.25x = 168,697.69 × 168,697.69
  4. Step 4: Simplify right side
    114,716.25x = 28,458,909,767.85
  5. Step 5: Solve for x
    x = 28,458,909,767.85/114,716.25
  6. Step 6: Final answer
    x = 248,080.89

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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.