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Finding the Third Proportional to 127,096.59 and 271,081.69

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Solution

The third proportional to 127,096.59 and 271,081.69 is: 578,184.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,096.59 : 271,081.69 = 271,081.69 : x
  2. Step 2: Convert to fraction form
    127,096.59/271,081.69 = 271,081.69/x
  3. Step 3: Cross multiply
    127,096.59x = 271,081.69 × 271,081.69
  4. Step 4: Simplify right side
    127,096.59x = 73,485,281,297.85
  5. Step 5: Solve for x
    x = 73,485,281,297.85/127,096.59
  6. Step 6: Final answer
    x = 578,184.51

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.