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Finding the Third Proportional to 131,240 and 194,092

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Solution

The third proportional to 131,240 and 194,092 is: 287,044.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,240 : 194,092 = 194,092 : x
  2. Step 2: Convert to fraction form
    131,240/194,092 = 194,092/x
  3. Step 3: Cross multiply
    131,240x = 194,092 × 194,092
  4. Step 4: Simplify right side
    131,240x = 37,671,704,464
  5. Step 5: Solve for x
    x = 37,671,704,464/131,240
  6. Step 6: Final answer
    x = 287,044.38

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.