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Finding the Third Proportional to 127,742.06 and 268,716.23

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Solution

The third proportional to 127,742.06 and 268,716.23 is: 565,267.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,742.06 : 268,716.23 = 268,716.23 : x
  2. Step 2: Convert to fraction form
    127,742.06/268,716.23 = 268,716.23/x
  3. Step 3: Cross multiply
    127,742.06x = 268,716.23 × 268,716.23
  4. Step 4: Simplify right side
    127,742.06x = 72,208,414,616.68
  5. Step 5: Solve for x
    x = 72,208,414,616.68/127,742.06
  6. Step 6: Final answer
    x = 565,267.33

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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.