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Finding the Third Proportional to 131,633 and 202,371

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Solution

The third proportional to 131,633 and 202,371 is: 311,122.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,633 : 202,371 = 202,371 : x
  2. Step 2: Convert to fraction form
    131,633/202,371 = 202,371/x
  3. Step 3: Cross multiply
    131,633x = 202,371 × 202,371
  4. Step 4: Simplify right side
    131,633x = 40,954,021,641
  5. Step 5: Solve for x
    x = 40,954,021,641/131,633
  6. Step 6: Final answer
    x = 311,122.76

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.