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Finding the Third Proportional to 57,218.06 and 123,045.75

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Solution

The third proportional to 57,218.06 and 123,045.75 is: 264,606.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,218.06 : 123,045.75 = 123,045.75 : x
  2. Step 2: Convert to fraction form
    57,218.06/123,045.75 = 123,045.75/x
  3. Step 3: Cross multiply
    57,218.06x = 123,045.75 × 123,045.75
  4. Step 4: Simplify right side
    57,218.06x = 15,140,256,593.06
  5. Step 5: Solve for x
    x = 15,140,256,593.06/57,218.06
  6. Step 6: Final answer
    x = 264,606.24

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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.