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Finding the Third Proportional to 133,523 and 206,172

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Solution

The third proportional to 133,523 and 206,172 is: 318,348.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,523 : 206,172 = 206,172 : x
  2. Step 2: Convert to fraction form
    133,523/206,172 = 206,172/x
  3. Step 3: Cross multiply
    133,523x = 206,172 × 206,172
  4. Step 4: Simplify right side
    133,523x = 42,506,893,584
  5. Step 5: Solve for x
    x = 42,506,893,584/133,523
  6. Step 6: Final answer
    x = 318,348.85

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.