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Finding the Third Proportional to 129,641 and 194,463

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Solution

The third proportional to 129,641 and 194,463 is: 291,696.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,641 : 194,463 = 194,463 : x
  2. Step 2: Convert to fraction form
    129,641/194,463 = 194,463/x
  3. Step 3: Cross multiply
    129,641x = 194,463 × 194,463
  4. Step 4: Simplify right side
    129,641x = 37,815,858,369
  5. Step 5: Solve for x
    x = 37,815,858,369/129,641
  6. Step 6: Final answer
    x = 291,696.75

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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.