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Finding the Third Proportional to 57,481 and 125,653

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Solution

The third proportional to 57,481 and 125,653 is: 274,676.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,481 : 125,653 = 125,653 : x
  2. Step 2: Convert to fraction form
    57,481/125,653 = 125,653/x
  3. Step 3: Cross multiply
    57,481x = 125,653 × 125,653
  4. Step 4: Simplify right side
    57,481x = 15,788,676,409
  5. Step 5: Solve for x
    x = 15,788,676,409/57,481
  6. Step 6: Final answer
    x = 274,676.44

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.