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Finding the Third Proportional to 122,091.75 and 261,705.38

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Solution

The third proportional to 122,091.75 and 261,705.38 is: 560,969.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,091.75 : 261,705.38 = 261,705.38 : x
  2. Step 2: Convert to fraction form
    122,091.75/261,705.38 = 261,705.38/x
  3. Step 3: Cross multiply
    122,091.75x = 261,705.38 × 261,705.38
  4. Step 4: Simplify right side
    122,091.75x = 68,489,703,303.89
  5. Step 5: Solve for x
    x = 68,489,703,303.89/122,091.75
  6. Step 6: Final answer
    x = 560,969.13

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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.