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Finding the Third Proportional to 127,019.81 and 273,867.75

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Solution

The third proportional to 127,019.81 and 273,867.75 is: 590,486.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,019.81 : 273,867.75 = 273,867.75 : x
  2. Step 2: Convert to fraction form
    127,019.81/273,867.75 = 273,867.75/x
  3. Step 3: Cross multiply
    127,019.81x = 273,867.75 × 273,867.75
  4. Step 4: Simplify right side
    127,019.81x = 75,003,544,490.06
  5. Step 5: Solve for x
    x = 75,003,544,490.06/127,019.81
  6. Step 6: Final answer
    x = 590,486.97

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.