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Finding the Third Proportional to 91,942.59 and 140,588.16

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Solution

The third proportional to 91,942.59 and 140,588.16 is: 214,971.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,942.59 : 140,588.16 = 140,588.16 : x
  2. Step 2: Convert to fraction form
    91,942.59/140,588.16 = 140,588.16/x
  3. Step 3: Cross multiply
    91,942.59x = 140,588.16 × 140,588.16
  4. Step 4: Simplify right side
    91,942.59x = 19,765,029,677.77
  5. Step 5: Solve for x
    x = 19,765,029,677.77/91,942.59
  6. Step 6: Final answer
    x = 214,971.42

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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.