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Finding the Third Proportional to 43,612 and 67,514

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Solution

The third proportional to 43,612 and 67,514 is: 104,515.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,612 : 67,514 = 67,514 : x
  2. Step 2: Convert to fraction form
    43,612/67,514 = 67,514/x
  3. Step 3: Cross multiply
    43,612x = 67,514 × 67,514
  4. Step 4: Simplify right side
    43,612x = 4,558,140,196
  5. Step 5: Solve for x
    x = 4,558,140,196/43,612
  6. Step 6: Final answer
    x = 104,515.73

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