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Finding the Third Proportional to 75,828 and 114,786

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Solution

The third proportional to 75,828 and 114,786 is: 173,759.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,828 : 114,786 = 114,786 : x
  2. Step 2: Convert to fraction form
    75,828/114,786 = 114,786/x
  3. Step 3: Cross multiply
    75,828x = 114,786 × 114,786
  4. Step 4: Simplify right side
    75,828x = 13,175,825,796
  5. Step 5: Solve for x
    x = 13,175,825,796/75,828
  6. Step 6: Final answer
    x = 173,759.37

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.