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Finding the Third Proportional to 134,856.38 and 194,252.06

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Solution

The third proportional to 134,856.38 and 194,252.06 is: 279,807.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,856.38 : 194,252.06 = 194,252.06 : x
  2. Step 2: Convert to fraction form
    134,856.38/194,252.06 = 194,252.06/x
  3. Step 3: Cross multiply
    134,856.38x = 194,252.06 × 194,252.06
  4. Step 4: Simplify right side
    134,856.38x = 37,733,863,785.50
  5. Step 5: Solve for x
    x = 37,733,863,785.50/134,856.38
  6. Step 6: Final answer
    x = 279,807.79

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.