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Finding the Third Proportional to 127,782 and 184,018

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Solution

The third proportional to 127,782 and 184,018 is: 265,003.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,782 : 184,018 = 184,018 : x
  2. Step 2: Convert to fraction form
    127,782/184,018 = 184,018/x
  3. Step 3: Cross multiply
    127,782x = 184,018 × 184,018
  4. Step 4: Simplify right side
    127,782x = 33,862,624,324
  5. Step 5: Solve for x
    x = 33,862,624,324/127,782
  6. Step 6: Final answer
    x = 265,003.09

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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.