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Finding the Third Proportional to 75,018 and 109,638

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Solution

The third proportional to 75,018 and 109,638 is: 160,234.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,018 : 109,638 = 109,638 : x
  2. Step 2: Convert to fraction form
    75,018/109,638 = 109,638/x
  3. Step 3: Cross multiply
    75,018x = 109,638 × 109,638
  4. Step 4: Simplify right side
    75,018x = 12,020,491,044
  5. Step 5: Solve for x
    x = 12,020,491,044/75,018
  6. Step 6: Final answer
    x = 160,234.76

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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.