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Finding the Third Proportional to 67,446 and 147,741

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Solution

The third proportional to 67,446 and 147,741 is: 323,627.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,446 : 147,741 = 147,741 : x
  2. Step 2: Convert to fraction form
    67,446/147,741 = 147,741/x
  3. Step 3: Cross multiply
    67,446x = 147,741 × 147,741
  4. Step 4: Simplify right side
    67,446x = 21,827,403,081
  5. Step 5: Solve for x
    x = 21,827,403,081/67,446
  6. Step 6: Final answer
    x = 323,627.84

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.