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Finding the Third Proportional to 119,039.63 and 275,865.75

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Solution

The third proportional to 119,039.63 and 275,865.75 is: 639,298.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,039.63 : 275,865.75 = 275,865.75 : x
  2. Step 2: Convert to fraction form
    119,039.63/275,865.75 = 275,865.75/x
  3. Step 3: Cross multiply
    119,039.63x = 275,865.75 × 275,865.75
  4. Step 4: Simplify right side
    119,039.63x = 76,101,912,023.06
  5. Step 5: Solve for x
    x = 76,101,912,023.06/119,039.63
  6. Step 6: Final answer
    x = 639,298.99

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These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.