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Finding the Third Proportional to 91,921 and 140,553

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Solution

The third proportional to 91,921 and 140,553 is: 214,914.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,921 : 140,553 = 140,553 : x
  2. Step 2: Convert to fraction form
    91,921/140,553 = 140,553/x
  3. Step 3: Cross multiply
    91,921x = 140,553 × 140,553
  4. Step 4: Simplify right side
    91,921x = 19,755,145,809
  5. Step 5: Solve for x
    x = 19,755,145,809/91,921
  6. Step 6: Final answer
    x = 214,914.39

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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.