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Finding the Third Proportional to 75,876 and 162,984

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Solution

The third proportional to 75,876 and 162,984 is: 350,094.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,876 : 162,984 = 162,984 : x
  2. Step 2: Convert to fraction form
    75,876/162,984 = 162,984/x
  3. Step 3: Cross multiply
    75,876x = 162,984 × 162,984
  4. Step 4: Simplify right side
    75,876x = 26,563,784,256
  5. Step 5: Solve for x
    x = 26,563,784,256/75,876
  6. Step 6: Final answer
    x = 350,094.68

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.