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Finding the Third Proportional to 79,992 and 114,315

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Solution

The third proportional to 79,992 and 114,315 is: 163,365.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,992 : 114,315 = 114,315 : x
  2. Step 2: Convert to fraction form
    79,992/114,315 = 114,315/x
  3. Step 3: Cross multiply
    79,992x = 114,315 × 114,315
  4. Step 4: Simplify right side
    79,992x = 13,067,919,225
  5. Step 5: Solve for x
    x = 13,067,919,225/79,992
  6. Step 6: Final answer
    x = 163,365.33

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.