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Finding the Third Proportional to 66,758 and 135,358

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Solution

The third proportional to 66,758 and 135,358 is: 274,450.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,758 : 135,358 = 135,358 : x
  2. Step 2: Convert to fraction form
    66,758/135,358 = 135,358/x
  3. Step 3: Cross multiply
    66,758x = 135,358 × 135,358
  4. Step 4: Simplify right side
    66,758x = 18,321,788,164
  5. Step 5: Solve for x
    x = 18,321,788,164/66,758
  6. Step 6: Final answer
    x = 274,450.82

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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.