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Finding the Third Proportional to 127,635.75 and 226,005.19

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Solution

The third proportional to 127,635.75 and 226,005.19 is: 400,188.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,635.75 : 226,005.19 = 226,005.19 : x
  2. Step 2: Convert to fraction form
    127,635.75/226,005.19 = 226,005.19/x
  3. Step 3: Cross multiply
    127,635.75x = 226,005.19 × 226,005.19
  4. Step 4: Simplify right side
    127,635.75x = 51,078,344,776.91
  5. Step 5: Solve for x
    x = 51,078,344,776.91/127,635.75
  6. Step 6: Final answer
    x = 400,188.39

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Why These Related Problems?

These problems maintain the same ratio (1.77) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.