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Finding the Third Proportional to 57,747 and 120,084

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Solution

The third proportional to 57,747 and 120,084 is: 249,712.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,747 : 120,084 = 120,084 : x
  2. Step 2: Convert to fraction form
    57,747/120,084 = 120,084/x
  3. Step 3: Cross multiply
    57,747x = 120,084 × 120,084
  4. Step 4: Simplify right side
    57,747x = 14,420,167,056
  5. Step 5: Solve for x
    x = 14,420,167,056/57,747
  6. Step 6: Final answer
    x = 249,712.83

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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.