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Finding the Third Proportional to 127,112 and 186,996

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Solution

The third proportional to 127,112 and 186,996 is: 275,092.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,112 : 186,996 = 186,996 : x
  2. Step 2: Convert to fraction form
    127,112/186,996 = 186,996/x
  3. Step 3: Cross multiply
    127,112x = 186,996 × 186,996
  4. Step 4: Simplify right side
    127,112x = 34,967,504,016
  5. Step 5: Solve for x
    x = 34,967,504,016/127,112
  6. Step 6: Final answer
    x = 275,092.08

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.