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Finding the Third Proportional to 57,736 and 120,004

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Solution

The third proportional to 57,736 and 120,004 is: 249,427.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,736 : 120,004 = 120,004 : x
  2. Step 2: Convert to fraction form
    57,736/120,004 = 120,004/x
  3. Step 3: Cross multiply
    57,736x = 120,004 × 120,004
  4. Step 4: Simplify right side
    57,736x = 14,400,960,016
  5. Step 5: Solve for x
    x = 14,400,960,016/57,736
  6. Step 6: Final answer
    x = 249,427.74

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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.