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Finding the Third Proportional to 57,350 and 123,489

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Solution

The third proportional to 57,350 and 123,489 is: 265,902.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,350 : 123,489 = 123,489 : x
  2. Step 2: Convert to fraction form
    57,350/123,489 = 123,489/x
  3. Step 3: Cross multiply
    57,350x = 123,489 × 123,489
  4. Step 4: Simplify right side
    57,350x = 15,249,533,121
  5. Step 5: Solve for x
    x = 15,249,533,121/57,350
  6. Step 6: Final answer
    x = 265,902.93

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Why These Related Problems?

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