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Finding the Third Proportional to 129,740 and 194,612

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Solution

The third proportional to 129,740 and 194,612 is: 291,921.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,740 : 194,612 = 194,612 : x
  2. Step 2: Convert to fraction form
    129,740/194,612 = 194,612/x
  3. Step 3: Cross multiply
    129,740x = 194,612 × 194,612
  4. Step 4: Simplify right side
    129,740x = 37,873,830,544
  5. Step 5: Solve for x
    x = 37,873,830,544/129,740
  6. Step 6: Final answer
    x = 291,921.00

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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.