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Finding the Third Proportional to 65,912 and 155,526

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Solution

The third proportional to 65,912 and 155,526 is: 366,979.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,912 : 155,526 = 155,526 : x
  2. Step 2: Convert to fraction form
    65,912/155,526 = 155,526/x
  3. Step 3: Cross multiply
    65,912x = 155,526 × 155,526
  4. Step 4: Simplify right side
    65,912x = 24,188,336,676
  5. Step 5: Solve for x
    x = 24,188,336,676/65,912
  6. Step 6: Final answer
    x = 366,979.26

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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.