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Finding the Third Proportional to 55,960 and 120,202

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Solution

The third proportional to 55,960 and 120,202 is: 258,193.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,960 : 120,202 = 120,202 : x
  2. Step 2: Convert to fraction form
    55,960/120,202 = 120,202/x
  3. Step 3: Cross multiply
    55,960x = 120,202 × 120,202
  4. Step 4: Simplify right side
    55,960x = 14,448,520,804
  5. Step 5: Solve for x
    x = 14,448,520,804/55,960
  6. Step 6: Final answer
    x = 258,193.72

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.