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Finding the Third Proportional to 54,256.50 and 112,671

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Solution

The third proportional to 54,256.50 and 112,671 is: 233,976.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,256.50 : 112,671 = 112,671 : x
  2. Step 2: Convert to fraction form
    54,256.50/112,671 = 112,671/x
  3. Step 3: Cross multiply
    54,256.50x = 112,671 × 112,671
  4. Step 4: Simplify right side
    54,256.50x = 12,694,754,241
  5. Step 5: Solve for x
    x = 12,694,754,241/54,256.50
  6. Step 6: Final answer
    x = 233,976.65

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.