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Finding the Third Proportional to 57,244.50 and 83,815.88

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Solution

The third proportional to 57,244.50 and 83,815.88 is: 122,720.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,244.50 : 83,815.88 = 83,815.88 : x
  2. Step 2: Convert to fraction form
    57,244.50/83,815.88 = 83,815.88/x
  3. Step 3: Cross multiply
    57,244.50x = 83,815.88 × 83,815.88
  4. Step 4: Simplify right side
    57,244.50x = 7,025,100,902.02
  5. Step 5: Solve for x
    x = 7,025,100,902.02/57,244.50
  6. Step 6: Final answer
    x = 122,720.98

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.