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Finding the Third Proportional to 75,114 and 109,782

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Solution

The third proportional to 75,114 and 109,782 is: 160,450.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,114 : 109,782 = 109,782 : x
  2. Step 2: Convert to fraction form
    75,114/109,782 = 109,782/x
  3. Step 3: Cross multiply
    75,114x = 109,782 × 109,782
  4. Step 4: Simplify right side
    75,114x = 12,052,087,524
  5. Step 5: Solve for x
    x = 12,052,087,524/75,114
  6. Step 6: Final answer
    x = 160,450.62

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.