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Finding the Third Proportional to 66,766 and 135,374

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Solution

The third proportional to 66,766 and 135,374 is: 274,482.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,766 : 135,374 = 135,374 : x
  2. Step 2: Convert to fraction form
    66,766/135,374 = 135,374/x
  3. Step 3: Cross multiply
    66,766x = 135,374 × 135,374
  4. Step 4: Simplify right side
    66,766x = 18,326,119,876
  5. Step 5: Solve for x
    x = 18,326,119,876/66,766
  6. Step 6: Final answer
    x = 274,482.82

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.