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Finding the Third Proportional to 127,760.50 and 268,761

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Solution

The third proportional to 127,760.50 and 268,761 is: 565,374.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,760.50 : 268,761 = 268,761 : x
  2. Step 2: Convert to fraction form
    127,760.50/268,761 = 268,761/x
  3. Step 3: Cross multiply
    127,760.50x = 268,761 × 268,761
  4. Step 4: Simplify right side
    127,760.50x = 72,232,475,121
  5. Step 5: Solve for x
    x = 72,232,475,121/127,760.50
  6. Step 6: Final answer
    x = 565,374.08

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.