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Finding the Third Proportional to 103,684 and 146,837

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Solution

The third proportional to 103,684 and 146,837 is: 207,950.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,684 : 146,837 = 146,837 : x
  2. Step 2: Convert to fraction form
    103,684/146,837 = 146,837/x
  3. Step 3: Cross multiply
    103,684x = 146,837 × 146,837
  4. Step 4: Simplify right side
    103,684x = 21,561,104,569
  5. Step 5: Solve for x
    x = 21,561,104,569/103,684
  6. Step 6: Final answer
    x = 207,950.16

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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.