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Finding the Third Proportional to 57,673.50 and 125,139

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Solution

The third proportional to 57,673.50 and 125,139 is: 271,524.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,673.50 : 125,139 = 125,139 : x
  2. Step 2: Convert to fraction form
    57,673.50/125,139 = 125,139/x
  3. Step 3: Cross multiply
    57,673.50x = 125,139 × 125,139
  4. Step 4: Simplify right side
    57,673.50x = 15,659,769,321
  5. Step 5: Solve for x
    x = 15,659,769,321/57,673.50
  6. Step 6: Final answer
    x = 271,524.52

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.