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Finding the Third Proportional to 67,010 and 132,328

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Solution

The third proportional to 67,010 and 132,328 is: 261,314.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,010 : 132,328 = 132,328 : x
  2. Step 2: Convert to fraction form
    67,010/132,328 = 132,328/x
  3. Step 3: Cross multiply
    67,010x = 132,328 × 132,328
  4. Step 4: Simplify right side
    67,010x = 17,510,699,584
  5. Step 5: Solve for x
    x = 17,510,699,584/67,010
  6. Step 6: Final answer
    x = 261,314.72

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These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.