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Finding the Third Proportional to 129,684 and 194,526

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Solution

The third proportional to 129,684 and 194,526 is: 291,789

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,684 : 194,526 = 194,526 : x
  2. Step 2: Convert to fraction form
    129,684/194,526 = 194,526/x
  3. Step 3: Cross multiply
    129,684x = 194,526 × 194,526
  4. Step 4: Simplify right side
    129,684x = 37,840,364,676
  5. Step 5: Solve for x
    x = 37,840,364,676/129,684
  6. Step 6: Final answer
    x = 291,789

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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.