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Finding the Third Proportional to 73,824 and 162,876

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Solution

The third proportional to 73,824 and 162,876 is: 359,349.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,824 : 162,876 = 162,876 : x
  2. Step 2: Convert to fraction form
    73,824/162,876 = 162,876/x
  3. Step 3: Cross multiply
    73,824x = 162,876 × 162,876
  4. Step 4: Simplify right side
    73,824x = 26,528,591,376
  5. Step 5: Solve for x
    x = 26,528,591,376/73,824
  6. Step 6: Final answer
    x = 359,349.15

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.