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Finding the Third Proportional to 75,824 and 118,936

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Solution

The third proportional to 75,824 and 118,936 is: 186,560.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,824 : 118,936 = 118,936 : x
  2. Step 2: Convert to fraction form
    75,824/118,936 = 118,936/x
  3. Step 3: Cross multiply
    75,824x = 118,936 × 118,936
  4. Step 4: Simplify right side
    75,824x = 14,145,772,096
  5. Step 5: Solve for x
    x = 14,145,772,096/75,824
  6. Step 6: Final answer
    x = 186,560.62

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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.