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Finding the Third Proportional to 63,976.50 and 137,673

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Solution

The third proportional to 63,976.50 and 137,673 is: 296,262.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,976.50 : 137,673 = 137,673 : x
  2. Step 2: Convert to fraction form
    63,976.50/137,673 = 137,673/x
  3. Step 3: Cross multiply
    63,976.50x = 137,673 × 137,673
  4. Step 4: Simplify right side
    63,976.50x = 18,953,854,929
  5. Step 5: Solve for x
    x = 18,953,854,929/63,976.50
  6. Step 6: Final answer
    x = 296,262.77

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.