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Finding the Third Proportional to 121,015.69 and 262,443.38

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Solution

The third proportional to 121,015.69 and 262,443.38 is: 569,153.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,015.69 : 262,443.38 = 262,443.38 : x
  2. Step 2: Convert to fraction form
    121,015.69/262,443.38 = 262,443.38/x
  3. Step 3: Cross multiply
    121,015.69x = 262,443.38 × 262,443.38
  4. Step 4: Simplify right side
    121,015.69x = 68,876,525,081.39
  5. Step 5: Solve for x
    x = 68,876,525,081.39/121,015.69
  6. Step 6: Final answer
    x = 569,153.69

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.