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Finding the Third Proportional to 68,277 and 102,609

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Solution

The third proportional to 68,277 and 102,609 is: 154,204.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,277 : 102,609 = 102,609 : x
  2. Step 2: Convert to fraction form
    68,277/102,609 = 102,609/x
  3. Step 3: Cross multiply
    68,277x = 102,609 × 102,609
  4. Step 4: Simplify right side
    68,277x = 10,528,606,881
  5. Step 5: Solve for x
    x = 10,528,606,881/68,277
  6. Step 6: Final answer
    x = 154,204.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.