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Finding the Third Proportional to 140,422 and 182,169

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Solution

The third proportional to 140,422 and 182,169 is: 236,327.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,422 : 182,169 = 182,169 : x
  2. Step 2: Convert to fraction form
    140,422/182,169 = 182,169/x
  3. Step 3: Cross multiply
    140,422x = 182,169 × 182,169
  4. Step 4: Simplify right side
    140,422x = 33,185,544,561
  5. Step 5: Solve for x
    x = 33,185,544,561/140,422
  6. Step 6: Final answer
    x = 236,327.25

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.