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Finding the Third Proportional to 56,504 and 76,739

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Solution

The third proportional to 56,504 and 76,739 is: 104,220.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,504 : 76,739 = 76,739 : x
  2. Step 2: Convert to fraction form
    56,504/76,739 = 76,739/x
  3. Step 3: Cross multiply
    56,504x = 76,739 × 76,739
  4. Step 4: Simplify right side
    56,504x = 5,888,874,121
  5. Step 5: Solve for x
    x = 5,888,874,121/56,504
  6. Step 6: Final answer
    x = 104,220.48

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.