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Finding the Third Proportional to 32,606 and 68,715

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Solution

The third proportional to 32,606 and 68,715 is: 144,812.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,606 : 68,715 = 68,715 : x
  2. Step 2: Convert to fraction form
    32,606/68,715 = 68,715/x
  3. Step 3: Cross multiply
    32,606x = 68,715 × 68,715
  4. Step 4: Simplify right side
    32,606x = 4,721,751,225
  5. Step 5: Solve for x
    x = 4,721,751,225/32,606
  6. Step 6: Final answer
    x = 144,812.34

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.