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Finding the Third Proportional to 127,329.75 and 193,761

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Solution

The third proportional to 127,329.75 and 193,761 is: 294,851.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,329.75 : 193,761 = 193,761 : x
  2. Step 2: Convert to fraction form
    127,329.75/193,761 = 193,761/x
  3. Step 3: Cross multiply
    127,329.75x = 193,761 × 193,761
  4. Step 4: Simplify right side
    127,329.75x = 37,543,325,121
  5. Step 5: Solve for x
    x = 37,543,325,121/127,329.75
  6. Step 6: Final answer
    x = 294,851.16

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.