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Finding the Third Proportional to 127,635.75 and 190,846.13

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Solution

The third proportional to 127,635.75 and 190,846.13 is: 285,360.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,635.75 : 190,846.13 = 190,846.13 : x
  2. Step 2: Convert to fraction form
    127,635.75/190,846.13 = 190,846.13/x
  3. Step 3: Cross multiply
    127,635.75x = 190,846.13 × 190,846.13
  4. Step 4: Simplify right side
    127,635.75x = 36,422,243,427.52
  5. Step 5: Solve for x
    x = 36,422,243,427.52/127,635.75
  6. Step 6: Final answer
    x = 285,360.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.