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Finding the Third Proportional to 75,228 and 117,450

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Solution

The third proportional to 75,228 and 117,450 is: 183,369.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,228 : 117,450 = 117,450 : x
  2. Step 2: Convert to fraction form
    75,228/117,450 = 117,450/x
  3. Step 3: Cross multiply
    75,228x = 117,450 × 117,450
  4. Step 4: Simplify right side
    75,228x = 13,794,502,500
  5. Step 5: Solve for x
    x = 13,794,502,500/75,228
  6. Step 6: Final answer
    x = 183,369.26

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.