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Finding the Third Proportional to 55,829.67 and 121,696.17

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Solution

The third proportional to 55,829.67 and 121,696.17 is: 265,270.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,829.67 : 121,696.17 = 121,696.17 : x
  2. Step 2: Convert to fraction form
    55,829.67/121,696.17 = 121,696.17/x
  3. Step 3: Cross multiply
    55,829.67x = 121,696.17 × 121,696.17
  4. Step 4: Simplify right side
    55,829.67x = 14,809,958,249.03
  5. Step 5: Solve for x
    x = 14,809,958,249.03/55,829.67
  6. Step 6: Final answer
    x = 265,270.38

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.