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Finding the Third Proportional to 102,599 and 163,907

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Solution

The third proportional to 102,599 and 163,907 is: 261,849.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,599 : 163,907 = 163,907 : x
  2. Step 2: Convert to fraction form
    102,599/163,907 = 163,907/x
  3. Step 3: Cross multiply
    102,599x = 163,907 × 163,907
  4. Step 4: Simplify right side
    102,599x = 26,865,504,649
  5. Step 5: Solve for x
    x = 26,865,504,649/102,599
  6. Step 6: Final answer
    x = 261,849.58

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.