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Finding the Third Proportional to 127,811.91 and 194,373.56

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Solution

The third proportional to 127,811.91 and 194,373.56 is: 295,599.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,811.91 : 194,373.56 = 194,373.56 : x
  2. Step 2: Convert to fraction form
    127,811.91/194,373.56 = 194,373.56/x
  3. Step 3: Cross multiply
    127,811.91x = 194,373.56 × 194,373.56
  4. Step 4: Simplify right side
    127,811.91x = 37,781,081,798.94
  5. Step 5: Solve for x
    x = 37,781,081,798.94/127,811.91
  6. Step 6: Final answer
    x = 295,599.08

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.