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Finding the Third Proportional to 91,849 and 140,500.25

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Solution

The third proportional to 91,849 and 140,500.25 is: 214,921.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,849 : 140,500.25 = 140,500.25 : x
  2. Step 2: Convert to fraction form
    91,849/140,500.25 = 140,500.25/x
  3. Step 3: Cross multiply
    91,849x = 140,500.25 × 140,500.25
  4. Step 4: Simplify right side
    91,849x = 19,740,320,250.06
  5. Step 5: Solve for x
    x = 19,740,320,250.06/91,849
  6. Step 6: Final answer
    x = 214,921.45

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