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Finding the Third Proportional to 125,161.88 and 269,996.63

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Solution

The third proportional to 125,161.88 and 269,996.63 is: 582,431.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,161.88 : 269,996.63 = 269,996.63 : x
  2. Step 2: Convert to fraction form
    125,161.88/269,996.63 = 269,996.63/x
  3. Step 3: Cross multiply
    125,161.88x = 269,996.63 × 269,996.63
  4. Step 4: Simplify right side
    125,161.88x = 72,898,177,511.39
  5. Step 5: Solve for x
    x = 72,898,177,511.39/125,161.88
  6. Step 6: Final answer
    x = 582,431.17

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.