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Finding the Third Proportional to 127,086.47 and 273,848.34

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Solution

The third proportional to 127,086.47 and 273,848.34 is: 590,093.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,086.47 : 273,848.34 = 273,848.34 : x
  2. Step 2: Convert to fraction form
    127,086.47/273,848.34 = 273,848.34/x
  3. Step 3: Cross multiply
    127,086.47x = 273,848.34 × 273,848.34
  4. Step 4: Simplify right side
    127,086.47x = 74,992,915,374.62
  5. Step 5: Solve for x
    x = 74,992,915,374.62/127,086.47
  6. Step 6: Final answer
    x = 590,093.63

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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.