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Finding the Third Proportional to 43,042 and 65,212

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Solution

The third proportional to 43,042 and 65,212 is: 98,801.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,042 : 65,212 = 65,212 : x
  2. Step 2: Convert to fraction form
    43,042/65,212 = 65,212/x
  3. Step 3: Cross multiply
    43,042x = 65,212 × 65,212
  4. Step 4: Simplify right side
    43,042x = 4,252,604,944
  5. Step 5: Solve for x
    x = 4,252,604,944/43,042
  6. Step 6: Final answer
    x = 98,801.29

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.