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Finding the Third Proportional to 56,721 and 123,654

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Solution

The third proportional to 56,721 and 123,654 is: 269,570.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,721 : 123,654 = 123,654 : x
  2. Step 2: Convert to fraction form
    56,721/123,654 = 123,654/x
  3. Step 3: Cross multiply
    56,721x = 123,654 × 123,654
  4. Step 4: Simplify right side
    56,721x = 15,290,311,716
  5. Step 5: Solve for x
    x = 15,290,311,716/56,721
  6. Step 6: Final answer
    x = 269,570.56

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.