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Finding the Third Proportional to 65,972 and 155,579

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Solution

The third proportional to 65,972 and 155,579 is: 366,895.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,972 : 155,579 = 155,579 : x
  2. Step 2: Convert to fraction form
    65,972/155,579 = 155,579/x
  3. Step 3: Cross multiply
    65,972x = 155,579 × 155,579
  4. Step 4: Simplify right side
    65,972x = 24,204,825,241
  5. Step 5: Solve for x
    x = 24,204,825,241/65,972
  6. Step 6: Final answer
    x = 366,895.43

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.