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Finding the Third Proportional to 127,204 and 190,758

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Solution

The third proportional to 127,204 and 190,758 is: 286,065.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,204 : 190,758 = 190,758 : x
  2. Step 2: Convert to fraction form
    127,204/190,758 = 190,758/x
  3. Step 3: Cross multiply
    127,204x = 190,758 × 190,758
  4. Step 4: Simplify right side
    127,204x = 36,388,614,564
  5. Step 5: Solve for x
    x = 36,388,614,564/127,204
  6. Step 6: Final answer
    x = 286,065.02

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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.