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Finding the Third Proportional to 78,628 and 104,757

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Solution

The third proportional to 78,628 and 104,757 is: 139,568.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,628 : 104,757 = 104,757 : x
  2. Step 2: Convert to fraction form
    78,628/104,757 = 104,757/x
  3. Step 3: Cross multiply
    78,628x = 104,757 × 104,757
  4. Step 4: Simplify right side
    78,628x = 10,974,029,049
  5. Step 5: Solve for x
    x = 10,974,029,049/78,628
  6. Step 6: Final answer
    x = 139,568.97

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.