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Finding the Third Proportional to 106,558 and 177,572

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Solution

The third proportional to 106,558 and 177,572 is: 295,912.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,558 : 177,572 = 177,572 : x
  2. Step 2: Convert to fraction form
    106,558/177,572 = 177,572/x
  3. Step 3: Cross multiply
    106,558x = 177,572 × 177,572
  4. Step 4: Simplify right side
    106,558x = 31,531,815,184
  5. Step 5: Solve for x
    x = 31,531,815,184/106,558
  6. Step 6: Final answer
    x = 295,912.23

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.