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Finding the Third Proportional to 63,590 and 125,579

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Solution

The third proportional to 63,590 and 125,579 is: 247,996.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,590 : 125,579 = 125,579 : x
  2. Step 2: Convert to fraction form
    63,590/125,579 = 125,579/x
  3. Step 3: Cross multiply
    63,590x = 125,579 × 125,579
  4. Step 4: Simplify right side
    63,590x = 15,770,085,241
  5. Step 5: Solve for x
    x = 15,770,085,241/63,590
  6. Step 6: Final answer
    x = 247,996.31

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.