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Finding the Third Proportional to 121,861.69 and 262,990.69

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Solution

The third proportional to 121,861.69 and 262,990.69 is: 567,562.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,861.69 : 262,990.69 = 262,990.69 : x
  2. Step 2: Convert to fraction form
    121,861.69/262,990.69 = 262,990.69/x
  3. Step 3: Cross multiply
    121,861.69x = 262,990.69 × 262,990.69
  4. Step 4: Simplify right side
    121,861.69x = 69,164,101,711.72
  5. Step 5: Solve for x
    x = 69,164,101,711.72/121,861.69
  6. Step 6: Final answer
    x = 567,562.32

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.