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Finding the Third Proportional to 57,402 and 123,600

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Solution

The third proportional to 57,402 and 123,600 is: 266,139.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,402 : 123,600 = 123,600 : x
  2. Step 2: Convert to fraction form
    57,402/123,600 = 123,600/x
  3. Step 3: Cross multiply
    57,402x = 123,600 × 123,600
  4. Step 4: Simplify right side
    57,402x = 15,276,960,000
  5. Step 5: Solve for x
    x = 15,276,960,000/57,402
  6. Step 6: Final answer
    x = 266,139.86

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.