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Finding the Third Proportional to 57,972 and 120,948

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Solution

The third proportional to 57,972 and 120,948 is: 252,335.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,972 : 120,948 = 120,948 : x
  2. Step 2: Convert to fraction form
    57,972/120,948 = 120,948/x
  3. Step 3: Cross multiply
    57,972x = 120,948 × 120,948
  4. Step 4: Simplify right side
    57,972x = 14,628,418,704
  5. Step 5: Solve for x
    x = 14,628,418,704/57,972
  6. Step 6: Final answer
    x = 252,335.93

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.