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Finding the Third Proportional to 105,790 and 162,042

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Solution

The third proportional to 105,790 and 162,042 is: 248,205.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,790 : 162,042 = 162,042 : x
  2. Step 2: Convert to fraction form
    105,790/162,042 = 162,042/x
  3. Step 3: Cross multiply
    105,790x = 162,042 × 162,042
  4. Step 4: Simplify right side
    105,790x = 26,257,609,764
  5. Step 5: Solve for x
    x = 26,257,609,764/105,790
  6. Step 6: Final answer
    x = 248,205.03

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.