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Finding the Third Proportional to 116,826 and 177,552

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Solution

The third proportional to 116,826 and 177,552 is: 269,843.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,826 : 177,552 = 177,552 : x
  2. Step 2: Convert to fraction form
    116,826/177,552 = 177,552/x
  3. Step 3: Cross multiply
    116,826x = 177,552 × 177,552
  4. Step 4: Simplify right side
    116,826x = 31,524,712,704
  5. Step 5: Solve for x
    x = 31,524,712,704/116,826
  6. Step 6: Final answer
    x = 269,843.29

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.