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Finding the Third Proportional to 35,155 and 76,739

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Solution

The third proportional to 35,155 and 76,739 is: 167,511.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,155 : 76,739 = 76,739 : x
  2. Step 2: Convert to fraction form
    35,155/76,739 = 76,739/x
  3. Step 3: Cross multiply
    35,155x = 76,739 × 76,739
  4. Step 4: Simplify right side
    35,155x = 5,888,874,121
  5. Step 5: Solve for x
    x = 5,888,874,121/35,155
  6. Step 6: Final answer
    x = 167,511.71

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.