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Finding the Third Proportional to 56,734 and 121,892

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Solution

The third proportional to 56,734 and 121,892 is: 261,882.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,734 : 121,892 = 121,892 : x
  2. Step 2: Convert to fraction form
    56,734/121,892 = 121,892/x
  3. Step 3: Cross multiply
    56,734x = 121,892 × 121,892
  4. Step 4: Simplify right side
    56,734x = 14,857,659,664
  5. Step 5: Solve for x
    x = 14,857,659,664/56,734
  6. Step 6: Final answer
    x = 261,882.82

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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.