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Finding the Third Proportional to 121,942 and 183,238

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Solution

The third proportional to 121,942 and 183,238 is: 275,345.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,942 : 183,238 = 183,238 : x
  2. Step 2: Convert to fraction form
    121,942/183,238 = 183,238/x
  3. Step 3: Cross multiply
    121,942x = 183,238 × 183,238
  4. Step 4: Simplify right side
    121,942x = 33,576,164,644
  5. Step 5: Solve for x
    x = 33,576,164,644/121,942
  6. Step 6: Final answer
    x = 275,345.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.