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Finding the Third Proportional to 127,392.75 and 140,150.25

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Solution

The third proportional to 127,392.75 and 140,150.25 is: 154,185.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,392.75 : 140,150.25 = 140,150.25 : x
  2. Step 2: Convert to fraction form
    127,392.75/140,150.25 = 140,150.25/x
  3. Step 3: Cross multiply
    127,392.75x = 140,150.25 × 140,150.25
  4. Step 4: Simplify right side
    127,392.75x = 19,642,092,575.06
  5. Step 5: Solve for x
    x = 19,642,092,575.06/127,392.75
  6. Step 6: Final answer
    x = 154,185.33

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These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.