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Finding the Third Proportional to 57,051 and 121,740

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Solution

The third proportional to 57,051 and 121,740 is: 259,778.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,051 : 121,740 = 121,740 : x
  2. Step 2: Convert to fraction form
    57,051/121,740 = 121,740/x
  3. Step 3: Cross multiply
    57,051x = 121,740 × 121,740
  4. Step 4: Simplify right side
    57,051x = 14,820,627,600
  5. Step 5: Solve for x
    x = 14,820,627,600/57,051
  6. Step 6: Final answer
    x = 259,778.58

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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.