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Finding the Third Proportional to 103,668 and 146,813

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Solution

The third proportional to 103,668 and 146,813 is: 207,914.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,668 : 146,813 = 146,813 : x
  2. Step 2: Convert to fraction form
    103,668/146,813 = 146,813/x
  3. Step 3: Cross multiply
    103,668x = 146,813 × 146,813
  4. Step 4: Simplify right side
    103,668x = 21,554,056,969
  5. Step 5: Solve for x
    x = 21,554,056,969/103,668
  6. Step 6: Final answer
    x = 207,914.27

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.