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Finding the Third Proportional to 68,124 and 102,279

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Solution

The third proportional to 68,124 and 102,279 is: 153,558.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,124 : 102,279 = 102,279 : x
  2. Step 2: Convert to fraction form
    68,124/102,279 = 102,279/x
  3. Step 3: Cross multiply
    68,124x = 102,279 × 102,279
  4. Step 4: Simplify right side
    68,124x = 10,460,993,841
  5. Step 5: Solve for x
    x = 10,460,993,841/68,124
  6. Step 6: Final answer
    x = 153,558.13

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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.