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Finding the Third Proportional to 68,632 and 103,672

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Solution

The third proportional to 68,632 and 103,672 is: 156,601.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,632 : 103,672 = 103,672 : x
  2. Step 2: Convert to fraction form
    68,632/103,672 = 103,672/x
  3. Step 3: Cross multiply
    68,632x = 103,672 × 103,672
  4. Step 4: Simplify right side
    68,632x = 10,747,883,584
  5. Step 5: Solve for x
    x = 10,747,883,584/68,632
  6. Step 6: Final answer
    x = 156,601.64

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.