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Finding the Third Proportional to 127,997.17 and 184,374.35

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Solution

The third proportional to 127,997.17 and 184,374.35 is: 265,583.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,997.17 : 184,374.35 = 184,374.35 : x
  2. Step 2: Convert to fraction form
    127,997.17/184,374.35 = 184,374.35/x
  3. Step 3: Cross multiply
    127,997.17x = 184,374.35 × 184,374.35
  4. Step 4: Simplify right side
    127,997.17x = 33,993,901,514.09
  5. Step 5: Solve for x
    x = 33,993,901,514.09/127,997.17
  6. Step 6: Final answer
    x = 265,583.24

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.