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Finding the Third Proportional to 84,717 and 112,941

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Solution

The third proportional to 84,717 and 112,941 is: 150,568.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,717 : 112,941 = 112,941 : x
  2. Step 2: Convert to fraction form
    84,717/112,941 = 112,941/x
  3. Step 3: Cross multiply
    84,717x = 112,941 × 112,941
  4. Step 4: Simplify right side
    84,717x = 12,755,669,481
  5. Step 5: Solve for x
    x = 12,755,669,481/84,717
  6. Step 6: Final answer
    x = 150,568.00

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.