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Finding the Third Proportional to 113,719.97 and 178,371.14

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Solution

The third proportional to 113,719.97 and 178,371.14 is: 279,777.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,719.97 : 178,371.14 = 178,371.14 : x
  2. Step 2: Convert to fraction form
    113,719.97/178,371.14 = 178,371.14/x
  3. Step 3: Cross multiply
    113,719.97x = 178,371.14 × 178,371.14
  4. Step 4: Simplify right side
    113,719.97x = 31,816,263,807.86
  5. Step 5: Solve for x
    x = 31,816,263,807.86/113,719.97
  6. Step 6: Final answer
    x = 279,777.28

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.