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Finding the Third Proportional to 124,076.81 and 271,785.38

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Solution

The third proportional to 124,076.81 and 271,785.38 is: 595,335.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,076.81 : 271,785.38 = 271,785.38 : x
  2. Step 2: Convert to fraction form
    124,076.81/271,785.38 = 271,785.38/x
  3. Step 3: Cross multiply
    124,076.81x = 271,785.38 × 271,785.38
  4. Step 4: Simplify right side
    124,076.81x = 73,867,290,063.89
  5. Step 5: Solve for x
    x = 73,867,290,063.89/124,076.81
  6. Step 6: Final answer
    x = 595,335.17

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.