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Finding the Third Proportional to 57,420 and 84,489

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Solution

The third proportional to 57,420 and 84,489 is: 124,318.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,420 : 84,489 = 84,489 : x
  2. Step 2: Convert to fraction form
    57,420/84,489 = 84,489/x
  3. Step 3: Cross multiply
    57,420x = 84,489 × 84,489
  4. Step 4: Simplify right side
    57,420x = 7,138,391,121
  5. Step 5: Solve for x
    x = 7,138,391,121/57,420
  6. Step 6: Final answer
    x = 124,318.90

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.