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Finding the Third Proportional to 121,703.25 and 262,131

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Solution

The third proportional to 121,703.25 and 262,131 is: 564,591.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,703.25 : 262,131 = 262,131 : x
  2. Step 2: Convert to fraction form
    121,703.25/262,131 = 262,131/x
  3. Step 3: Cross multiply
    121,703.25x = 262,131 × 262,131
  4. Step 4: Simplify right side
    121,703.25x = 68,712,661,161
  5. Step 5: Solve for x
    x = 68,712,661,161/121,703.25
  6. Step 6: Final answer
    x = 564,591.83

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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.