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Finding the Third Proportional to 106,983 and 152,811

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Solution

The third proportional to 106,983 and 152,811 is: 218,270.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,983 : 152,811 = 152,811 : x
  2. Step 2: Convert to fraction form
    106,983/152,811 = 152,811/x
  3. Step 3: Cross multiply
    106,983x = 152,811 × 152,811
  4. Step 4: Simplify right side
    106,983x = 23,351,201,721
  5. Step 5: Solve for x
    x = 23,351,201,721/106,983
  6. Step 6: Final answer
    x = 218,270.21

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.