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Finding the Third Proportional to 73,176 and 109,451

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Solution

The third proportional to 73,176 and 109,451 is: 163,708.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,176 : 109,451 = 109,451 : x
  2. Step 2: Convert to fraction form
    73,176/109,451 = 109,451/x
  3. Step 3: Cross multiply
    73,176x = 109,451 × 109,451
  4. Step 4: Simplify right side
    73,176x = 11,979,521,401
  5. Step 5: Solve for x
    x = 11,979,521,401/73,176
  6. Step 6: Final answer
    x = 163,708.34

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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.