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Finding the Third Proportional to 68,024 and 107,253

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Solution

The third proportional to 68,024 and 107,253 is: 169,105.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,024 : 107,253 = 107,253 : x
  2. Step 2: Convert to fraction form
    68,024/107,253 = 107,253/x
  3. Step 3: Cross multiply
    68,024x = 107,253 × 107,253
  4. Step 4: Simplify right side
    68,024x = 11,503,206,009
  5. Step 5: Solve for x
    x = 11,503,206,009/68,024
  6. Step 6: Final answer
    x = 169,105.11

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.