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Finding the Third Proportional to 120,054 and 162,782

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Solution

The third proportional to 120,054 and 162,782 is: 220,717.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,054 : 162,782 = 162,782 : x
  2. Step 2: Convert to fraction form
    120,054/162,782 = 162,782/x
  3. Step 3: Cross multiply
    120,054x = 162,782 × 162,782
  4. Step 4: Simplify right side
    120,054x = 26,497,979,524
  5. Step 5: Solve for x
    x = 26,497,979,524/120,054
  6. Step 6: Final answer
    x = 220,717.17

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.