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Finding the Third Proportional to 58,791.50 and 83,777

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Solution

The third proportional to 58,791.50 and 83,777 is: 119,380.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,791.50 : 83,777 = 83,777 : x
  2. Step 2: Convert to fraction form
    58,791.50/83,777 = 83,777/x
  3. Step 3: Cross multiply
    58,791.50x = 83,777 × 83,777
  4. Step 4: Simplify right side
    58,791.50x = 7,018,585,729
  5. Step 5: Solve for x
    x = 7,018,585,729/58,791.50
  6. Step 6: Final answer
    x = 119,380.96

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.