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Finding the Third Proportional to 57,246.75 and 83,819.25

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Solution

The third proportional to 57,246.75 and 83,819.25 is: 122,726.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,246.75 : 83,819.25 = 83,819.25 : x
  2. Step 2: Convert to fraction form
    57,246.75/83,819.25 = 83,819.25/x
  3. Step 3: Cross multiply
    57,246.75x = 83,819.25 × 83,819.25
  4. Step 4: Simplify right side
    57,246.75x = 7,025,666,670.56
  5. Step 5: Solve for x
    x = 7,025,666,670.56/57,246.75
  6. Step 6: Final answer
    x = 122,726.04

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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.