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Finding the Third Proportional to 136,094 and 177,896

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Solution

The third proportional to 136,094 and 177,896 is: 232,537.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,094 : 177,896 = 177,896 : x
  2. Step 2: Convert to fraction form
    136,094/177,896 = 177,896/x
  3. Step 3: Cross multiply
    136,094x = 177,896 × 177,896
  4. Step 4: Simplify right side
    136,094x = 31,646,986,816
  5. Step 5: Solve for x
    x = 31,646,986,816/136,094
  6. Step 6: Final answer
    x = 232,537.71

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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.