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Finding the Third Proportional to 127,539.56 and 278,040.09

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Solution

The third proportional to 127,539.56 and 278,040.09 is: 606,135.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,539.56 : 278,040.09 = 278,040.09 : x
  2. Step 2: Convert to fraction form
    127,539.56/278,040.09 = 278,040.09/x
  3. Step 3: Cross multiply
    127,539.56x = 278,040.09 × 278,040.09
  4. Step 4: Simplify right side
    127,539.56x = 77,306,293,732.51
  5. Step 5: Solve for x
    x = 77,306,293,732.51/127,539.56
  6. Step 6: Final answer
    x = 606,135.79

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.