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Finding the Third Proportional to 129,061 and 282,962

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Solution

The third proportional to 129,061 and 282,962 is: 620,384.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,061 : 282,962 = 282,962 : x
  2. Step 2: Convert to fraction form
    129,061/282,962 = 282,962/x
  3. Step 3: Cross multiply
    129,061x = 282,962 × 282,962
  4. Step 4: Simplify right side
    129,061x = 80,067,493,444
  5. Step 5: Solve for x
    x = 80,067,493,444/129,061
  6. Step 6: Final answer
    x = 620,384.88

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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.