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Finding the Third Proportional to 91,743.25 and 140,349.75

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Solution

The third proportional to 91,743.25 and 140,349.75 is: 214,708.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,743.25 : 140,349.75 = 140,349.75 : x
  2. Step 2: Convert to fraction form
    91,743.25/140,349.75 = 140,349.75/x
  3. Step 3: Cross multiply
    91,743.25x = 140,349.75 × 140,349.75
  4. Step 4: Simplify right side
    91,743.25x = 19,698,052,325.06
  5. Step 5: Solve for x
    x = 19,698,052,325.06/91,743.25
  6. Step 6: Final answer
    x = 214,708.46

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.