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Finding the Third Proportional to 54,582 and 113,772

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Solution

The third proportional to 54,582 and 113,772 is: 237,149.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,582 : 113,772 = 113,772 : x
  2. Step 2: Convert to fraction form
    54,582/113,772 = 113,772/x
  3. Step 3: Cross multiply
    54,582x = 113,772 × 113,772
  4. Step 4: Simplify right side
    54,582x = 12,944,067,984
  5. Step 5: Solve for x
    x = 12,944,067,984/54,582
  6. Step 6: Final answer
    x = 237,149.02

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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.