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Finding the Third Proportional to 136,092 and 177,893

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Solution

The third proportional to 136,092 and 177,893 is: 232,533.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,092 : 177,893 = 177,893 : x
  2. Step 2: Convert to fraction form
    136,092/177,893 = 177,893/x
  3. Step 3: Cross multiply
    136,092x = 177,893 × 177,893
  4. Step 4: Simplify right side
    136,092x = 31,645,919,449
  5. Step 5: Solve for x
    x = 31,645,919,449/136,092
  6. Step 6: Final answer
    x = 232,533.28

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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.