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Finding the Third Proportional to 121,720 and 262,165

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Solution

The third proportional to 121,720 and 262,165 is: 564,660.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,720 : 262,165 = 262,165 : x
  2. Step 2: Convert to fraction form
    121,720/262,165 = 262,165/x
  3. Step 3: Cross multiply
    121,720x = 262,165 × 262,165
  4. Step 4: Simplify right side
    121,720x = 68,730,487,225
  5. Step 5: Solve for x
    x = 68,730,487,225/121,720
  6. Step 6: Final answer
    x = 564,660.59

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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.