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Finding the Third Proportional to 57,269.38 and 123,277.63

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Solution

The third proportional to 57,269.38 and 123,277.63 is: 265,366.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,269.38 : 123,277.63 = 123,277.63 : x
  2. Step 2: Convert to fraction form
    57,269.38/123,277.63 = 123,277.63/x
  3. Step 3: Cross multiply
    57,269.38x = 123,277.63 × 123,277.63
  4. Step 4: Simplify right side
    57,269.38x = 15,197,372,825.64
  5. Step 5: Solve for x
    x = 15,197,372,825.64/57,269.38
  6. Step 6: Final answer
    x = 265,366.49

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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.