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Finding the Third Proportional to 71,004 and 156,777

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Solution

The third proportional to 71,004 and 156,777 is: 346,163.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,004 : 156,777 = 156,777 : x
  2. Step 2: Convert to fraction form
    71,004/156,777 = 156,777/x
  3. Step 3: Cross multiply
    71,004x = 156,777 × 156,777
  4. Step 4: Simplify right side
    71,004x = 24,579,027,729
  5. Step 5: Solve for x
    x = 24,579,027,729/71,004
  6. Step 6: Final answer
    x = 346,163.99

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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.