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Finding the Third Proportional to 133,906 and 177,710

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Solution

The third proportional to 133,906 and 177,710 is: 235,843.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,906 : 177,710 = 177,710 : x
  2. Step 2: Convert to fraction form
    133,906/177,710 = 177,710/x
  3. Step 3: Cross multiply
    133,906x = 177,710 × 177,710
  4. Step 4: Simplify right side
    133,906x = 31,580,844,100
  5. Step 5: Solve for x
    x = 31,580,844,100/133,906
  6. Step 6: Final answer
    x = 235,843.38

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.