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Finding the Third Proportional to 91,731.75 and 140,333

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Solution

The third proportional to 91,731.75 and 140,333 is: 214,684.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,731.75 : 140,333 = 140,333 : x
  2. Step 2: Convert to fraction form
    91,731.75/140,333 = 140,333/x
  3. Step 3: Cross multiply
    91,731.75x = 140,333 × 140,333
  4. Step 4: Simplify right side
    91,731.75x = 19,693,350,889
  5. Step 5: Solve for x
    x = 19,693,350,889/91,731.75
  6. Step 6: Final answer
    x = 214,684.13

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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.