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Finding the Third Proportional to 125,654 and 194,311

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Solution

The third proportional to 125,654 and 194,311 is: 300,482.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,654 : 194,311 = 194,311 : x
  2. Step 2: Convert to fraction form
    125,654/194,311 = 194,311/x
  3. Step 3: Cross multiply
    125,654x = 194,311 × 194,311
  4. Step 4: Simplify right side
    125,654x = 37,756,764,721
  5. Step 5: Solve for x
    x = 37,756,764,721/125,654
  6. Step 6: Final answer
    x = 300,482.00

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.