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Finding the Third Proportional to 51,989.50 and 83,722

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Solution

The third proportional to 51,989.50 and 83,722 is: 134,822.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,989.50 : 83,722 = 83,722 : x
  2. Step 2: Convert to fraction form
    51,989.50/83,722 = 83,722/x
  3. Step 3: Cross multiply
    51,989.50x = 83,722 × 83,722
  4. Step 4: Simplify right side
    51,989.50x = 7,009,373,284
  5. Step 5: Solve for x
    x = 7,009,373,284/51,989.50
  6. Step 6: Final answer
    x = 134,822.86

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.