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Finding the Third Proportional to 57,651 and 121,896

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Solution

The third proportional to 57,651 and 121,896 is: 257,734.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,651 : 121,896 = 121,896 : x
  2. Step 2: Convert to fraction form
    57,651/121,896 = 121,896/x
  3. Step 3: Cross multiply
    57,651x = 121,896 × 121,896
  4. Step 4: Simplify right side
    57,651x = 14,858,634,816
  5. Step 5: Solve for x
    x = 14,858,634,816/57,651
  6. Step 6: Final answer
    x = 257,734.21

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.