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Finding the Third Proportional to 65,966 and 155,567

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Solution

The third proportional to 65,966 and 155,567 is: 366,872.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,966 : 155,567 = 155,567 : x
  2. Step 2: Convert to fraction form
    65,966/155,567 = 155,567/x
  3. Step 3: Cross multiply
    65,966x = 155,567 × 155,567
  4. Step 4: Simplify right side
    65,966x = 24,201,091,489
  5. Step 5: Solve for x
    x = 24,201,091,489/65,966
  6. Step 6: Final answer
    x = 366,872.20

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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.