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Finding the Third Proportional to 115,664 and 168,573

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Solution

The third proportional to 115,664 and 168,573 is: 245,684.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,664 : 168,573 = 168,573 : x
  2. Step 2: Convert to fraction form
    115,664/168,573 = 168,573/x
  3. Step 3: Cross multiply
    115,664x = 168,573 × 168,573
  4. Step 4: Simplify right side
    115,664x = 28,416,856,329
  5. Step 5: Solve for x
    x = 28,416,856,329/115,664
  6. Step 6: Final answer
    x = 245,684.54

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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.