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Finding the Third Proportional to 75,828 and 118,941

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Solution

The third proportional to 75,828 and 118,941 is: 186,566.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,828 : 118,941 = 118,941 : x
  2. Step 2: Convert to fraction form
    75,828/118,941 = 118,941/x
  3. Step 3: Cross multiply
    75,828x = 118,941 × 118,941
  4. Step 4: Simplify right side
    75,828x = 14,146,961,481
  5. Step 5: Solve for x
    x = 14,146,961,481/75,828
  6. Step 6: Final answer
    x = 186,566.46

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.