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Finding the Third Proportional to 57,867 and 120,342

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Solution

The third proportional to 57,867 and 120,342 is: 250,266.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,867 : 120,342 = 120,342 : x
  2. Step 2: Convert to fraction form
    57,867/120,342 = 120,342/x
  3. Step 3: Cross multiply
    57,867x = 120,342 × 120,342
  4. Step 4: Simplify right side
    57,867x = 14,482,196,964
  5. Step 5: Solve for x
    x = 14,482,196,964/57,867
  6. Step 6: Final answer
    x = 250,266.94

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.