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Finding the Third Proportional to 57,130 and 123,028

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Solution

The third proportional to 57,130 and 123,028 is: 264,937.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,130 : 123,028 = 123,028 : x
  2. Step 2: Convert to fraction form
    57,130/123,028 = 123,028/x
  3. Step 3: Cross multiply
    57,130x = 123,028 × 123,028
  4. Step 4: Simplify right side
    57,130x = 15,135,888,784
  5. Step 5: Solve for x
    x = 15,135,888,784/57,130
  6. Step 6: Final answer
    x = 264,937.66

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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.