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Finding the Third Proportional to 136,118 and 177,933

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Solution

The third proportional to 136,118 and 177,933 is: 232,593.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,118 : 177,933 = 177,933 : x
  2. Step 2: Convert to fraction form
    136,118/177,933 = 177,933/x
  3. Step 3: Cross multiply
    136,118x = 177,933 × 177,933
  4. Step 4: Simplify right side
    136,118x = 31,660,152,489
  5. Step 5: Solve for x
    x = 31,660,152,489/136,118
  6. Step 6: Final answer
    x = 232,593.43

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.