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Finding the Third Proportional to 54,958 and 112,526

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Solution

The third proportional to 54,958 and 112,526 is: 230,395.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,958 : 112,526 = 112,526 : x
  2. Step 2: Convert to fraction form
    54,958/112,526 = 112,526/x
  3. Step 3: Cross multiply
    54,958x = 112,526 × 112,526
  4. Step 4: Simplify right side
    54,958x = 12,662,100,676
  5. Step 5: Solve for x
    x = 12,662,100,676/54,958
  6. Step 6: Final answer
    x = 230,395.95

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.