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Finding the Third Proportional to 57,081 and 121,434

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Solution

The third proportional to 57,081 and 121,434 is: 258,338.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,081 : 121,434 = 121,434 : x
  2. Step 2: Convert to fraction form
    57,081/121,434 = 121,434/x
  3. Step 3: Cross multiply
    57,081x = 121,434 × 121,434
  4. Step 4: Simplify right side
    57,081x = 14,746,216,356
  5. Step 5: Solve for x
    x = 14,746,216,356/57,081
  6. Step 6: Final answer
    x = 258,338.44

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.