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Finding the Third Proportional to 128,169.75 and 276,061.50

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Solution

The third proportional to 128,169.75 and 276,061.50 is: 594,601.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,169.75 : 276,061.50 = 276,061.50 : x
  2. Step 2: Convert to fraction form
    128,169.75/276,061.50 = 276,061.50/x
  3. Step 3: Cross multiply
    128,169.75x = 276,061.50 × 276,061.50
  4. Step 4: Simplify right side
    128,169.75x = 76,209,951,782.25
  5. Step 5: Solve for x
    x = 76,209,951,782.25/128,169.75
  6. Step 6: Final answer
    x = 594,601.70

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.