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Finding the Third Proportional to 103,686 and 146,689

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Solution

The third proportional to 103,686 and 146,689 is: 207,527.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,686 : 146,689 = 146,689 : x
  2. Step 2: Convert to fraction form
    103,686/146,689 = 146,689/x
  3. Step 3: Cross multiply
    103,686x = 146,689 × 146,689
  4. Step 4: Simplify right side
    103,686x = 21,517,662,721
  5. Step 5: Solve for x
    x = 21,517,662,721/103,686
  6. Step 6: Final answer
    x = 207,527.18

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.