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Finding the Third Proportional to 76,401 and 114,745

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Solution

The third proportional to 76,401 and 114,745 is: 172,333.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,401 : 114,745 = 114,745 : x
  2. Step 2: Convert to fraction form
    76,401/114,745 = 114,745/x
  3. Step 3: Cross multiply
    76,401x = 114,745 × 114,745
  4. Step 4: Simplify right side
    76,401x = 13,166,415,025
  5. Step 5: Solve for x
    x = 13,166,415,025/76,401
  6. Step 6: Final answer
    x = 172,333.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.