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Finding the Third Proportional to 135,074.25 and 210,039.75

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Solution

The third proportional to 135,074.25 and 210,039.75 is: 326,610.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,074.25 : 210,039.75 = 210,039.75 : x
  2. Step 2: Convert to fraction form
    135,074.25/210,039.75 = 210,039.75/x
  3. Step 3: Cross multiply
    135,074.25x = 210,039.75 × 210,039.75
  4. Step 4: Simplify right side
    135,074.25x = 44,116,696,580.06
  5. Step 5: Solve for x
    x = 44,116,696,580.06/135,074.25
  6. Step 6: Final answer
    x = 326,610.71

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.