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Finding the Third Proportional to 43,077.75 and 93,074.25

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Solution

The third proportional to 43,077.75 and 93,074.25 is: 201,097.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,077.75 : 93,074.25 = 93,074.25 : x
  2. Step 2: Convert to fraction form
    43,077.75/93,074.25 = 93,074.25/x
  3. Step 3: Cross multiply
    43,077.75x = 93,074.25 × 93,074.25
  4. Step 4: Simplify right side
    43,077.75x = 8,662,816,013.06
  5. Step 5: Solve for x
    x = 8,662,816,013.06/43,077.75
  6. Step 6: Final answer
    x = 201,097.23

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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.