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Finding the Third Proportional to 57,358.13 and 82,609.88

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Solution

The third proportional to 57,358.13 and 82,609.88 is: 118,978.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,358.13 : 82,609.88 = 82,609.88 : x
  2. Step 2: Convert to fraction form
    57,358.13/82,609.88 = 82,609.88/x
  3. Step 3: Cross multiply
    57,358.13x = 82,609.88 × 82,609.88
  4. Step 4: Simplify right side
    57,358.13x = 6,824,391,447.52
  5. Step 5: Solve for x
    x = 6,824,391,447.52/57,358.13
  6. Step 6: Final answer
    x = 118,978.64

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.