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Finding the Third Proportional to 43,628 and 67,146

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Solution

The third proportional to 43,628 and 67,146 is: 103,341.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,628 : 67,146 = 67,146 : x
  2. Step 2: Convert to fraction form
    43,628/67,146 = 67,146/x
  3. Step 3: Cross multiply
    43,628x = 67,146 × 67,146
  4. Step 4: Simplify right side
    43,628x = 4,508,585,316
  5. Step 5: Solve for x
    x = 4,508,585,316/43,628
  6. Step 6: Final answer
    x = 103,341.55

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