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Finding the Third Proportional to 127,072.13 and 196,759.13

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Solution

The third proportional to 127,072.13 and 196,759.13 is: 304,662.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,072.13 : 196,759.13 = 196,759.13 : x
  2. Step 2: Convert to fraction form
    127,072.13/196,759.13 = 196,759.13/x
  3. Step 3: Cross multiply
    127,072.13x = 196,759.13 × 196,759.13
  4. Step 4: Simplify right side
    127,072.13x = 38,714,153,270.77
  5. Step 5: Solve for x
    x = 38,714,153,270.77/127,072.13
  6. Step 6: Final answer
    x = 304,662.83

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.