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Finding the Third Proportional to 114,912 and 167,913

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Solution

The third proportional to 114,912 and 167,913 is: 245,359.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,912 : 167,913 = 167,913 : x
  2. Step 2: Convert to fraction form
    114,912/167,913 = 167,913/x
  3. Step 3: Cross multiply
    114,912x = 167,913 × 167,913
  4. Step 4: Simplify right side
    114,912x = 28,194,775,569
  5. Step 5: Solve for x
    x = 28,194,775,569/114,912
  6. Step 6: Final answer
    x = 245,359.71

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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.