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Finding the Third Proportional to 114,867 and 168,300

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Solution

The third proportional to 114,867 and 168,300 is: 246,588.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,867 : 168,300 = 168,300 : x
  2. Step 2: Convert to fraction form
    114,867/168,300 = 168,300/x
  3. Step 3: Cross multiply
    114,867x = 168,300 × 168,300
  4. Step 4: Simplify right side
    114,867x = 28,324,890,000
  5. Step 5: Solve for x
    x = 28,324,890,000/114,867
  6. Step 6: Final answer
    x = 246,588.58

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