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Finding the Third Proportional to 56,102 and 120,085

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Solution

The third proportional to 56,102 and 120,085 is: 257,039.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,102 : 120,085 = 120,085 : x
  2. Step 2: Convert to fraction form
    56,102/120,085 = 120,085/x
  3. Step 3: Cross multiply
    56,102x = 120,085 × 120,085
  4. Step 4: Simplify right side
    56,102x = 14,420,407,225
  5. Step 5: Solve for x
    x = 14,420,407,225/56,102
  6. Step 6: Final answer
    x = 257,039.09

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.