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Finding the Third Proportional to 127,090.94 and 273,880.13

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Solution

The third proportional to 127,090.94 and 273,880.13 is: 590,209.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,090.94 : 273,880.13 = 273,880.13 : x
  2. Step 2: Convert to fraction form
    127,090.94/273,880.13 = 273,880.13/x
  3. Step 3: Cross multiply
    127,090.94x = 273,880.13 × 273,880.13
  4. Step 4: Simplify right side
    127,090.94x = 75,010,322,870.02
  5. Step 5: Solve for x
    x = 75,010,322,870.02/127,090.94
  6. Step 6: Final answer
    x = 590,209.85

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.