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Finding the Third Proportional to 116,721 and 191,763

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Solution

The third proportional to 116,721 and 191,763 is: 315,050.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,721 : 191,763 = 191,763 : x
  2. Step 2: Convert to fraction form
    116,721/191,763 = 191,763/x
  3. Step 3: Cross multiply
    116,721x = 191,763 × 191,763
  4. Step 4: Simplify right side
    116,721x = 36,773,048,169
  5. Step 5: Solve for x
    x = 36,773,048,169/116,721
  6. Step 6: Final answer
    x = 315,050.83

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These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.