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Finding the Third Proportional to 140,294 and 191,671

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Solution

The third proportional to 140,294 and 191,671 is: 261,862.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,294 : 191,671 = 191,671 : x
  2. Step 2: Convert to fraction form
    140,294/191,671 = 191,671/x
  3. Step 3: Cross multiply
    140,294x = 191,671 × 191,671
  4. Step 4: Simplify right side
    140,294x = 36,737,772,241
  5. Step 5: Solve for x
    x = 36,737,772,241/140,294
  6. Step 6: Final answer
    x = 261,862.75

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.