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Finding the Third Proportional to 65,473.31 and 126,982.69

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Solution

The third proportional to 65,473.31 and 126,982.69 is: 246,277.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,473.31 : 126,982.69 = 126,982.69 : x
  2. Step 2: Convert to fraction form
    65,473.31/126,982.69 = 126,982.69/x
  3. Step 3: Cross multiply
    65,473.31x = 126,982.69 × 126,982.69
  4. Step 4: Simplify right side
    65,473.31x = 16,124,602,924.72
  5. Step 5: Solve for x
    x = 16,124,602,924.72/65,473.31
  6. Step 6: Final answer
    x = 246,277.49

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These problems maintain the same ratio (1.94) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.