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Finding the Third Proportional to 96,572 and 223,745

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Solution

The third proportional to 96,572 and 223,745 is: 518,388.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,572 : 223,745 = 223,745 : x
  2. Step 2: Convert to fraction form
    96,572/223,745 = 223,745/x
  3. Step 3: Cross multiply
    96,572x = 223,745 × 223,745
  4. Step 4: Simplify right side
    96,572x = 50,061,825,025
  5. Step 5: Solve for x
    x = 50,061,825,025/96,572
  6. Step 6: Final answer
    x = 518,388.61

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.