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Finding the Third Proportional to 136,116 and 177,930

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Solution

The third proportional to 136,116 and 177,930 is: 232,589.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,116 : 177,930 = 177,930 : x
  2. Step 2: Convert to fraction form
    136,116/177,930 = 177,930/x
  3. Step 3: Cross multiply
    136,116x = 177,930 × 177,930
  4. Step 4: Simplify right side
    136,116x = 31,659,084,900
  5. Step 5: Solve for x
    x = 31,659,084,900/136,116
  6. Step 6: Final answer
    x = 232,589.00

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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.