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Finding the Third Proportional to 112,515 and 168,651

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Solution

The third proportional to 112,515 and 168,651 is: 252,794.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,515 : 168,651 = 168,651 : x
  2. Step 2: Convert to fraction form
    112,515/168,651 = 168,651/x
  3. Step 3: Cross multiply
    112,515x = 168,651 × 168,651
  4. Step 4: Simplify right side
    112,515x = 28,443,159,801
  5. Step 5: Solve for x
    x = 28,443,159,801/112,515
  6. Step 6: Final answer
    x = 252,794.38

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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.