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Finding the Third Proportional to 121,501.69 and 182,251.69

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Solution

The third proportional to 121,501.69 and 182,251.69 is: 273,376.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,501.69 : 182,251.69 = 182,251.69 : x
  2. Step 2: Convert to fraction form
    121,501.69/182,251.69 = 182,251.69/x
  3. Step 3: Cross multiply
    121,501.69x = 182,251.69 × 182,251.69
  4. Step 4: Simplify right side
    121,501.69x = 33,215,677,596.60
  5. Step 5: Solve for x
    x = 33,215,677,596.60/121,501.69
  6. Step 6: Final answer
    x = 273,376.27

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.