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Finding the Third Proportional to 127,764 and 182,138

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Solution

The third proportional to 127,764 and 182,138 is: 259,652.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,764 : 182,138 = 182,138 : x
  2. Step 2: Convert to fraction form
    127,764/182,138 = 182,138/x
  3. Step 3: Cross multiply
    127,764x = 182,138 × 182,138
  4. Step 4: Simplify right side
    127,764x = 33,174,251,044
  5. Step 5: Solve for x
    x = 33,174,251,044/127,764
  6. Step 6: Final answer
    x = 259,652.57

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.